Spinors and Space-Time

Characterization of (asymptotically) Kerr–de Sitter-like spacetimes at null infinity

Mars, M., Paetz, T.-T., Senovilla, J. M. M., et al. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/15/155001 · Cited by 23

Spectral curves of non-integral hyperbolic monopoles

Murray, M. K., & Singer, M. A. (1996) · Nonlinearity · doi:10.1088/0951-7715/9/4/009 · Cited by 23

Conformal Yano - Killing tensors and asymptotic CYK tensors for the Schwarzschild metric

Jezierski, J. (1997) · Classical and Quantum Gravity · doi:10.1088/0264-9381/14/7/008 · Cited by 23

Gravitational waves from a fissioning white hole

Gómez, R., Husa, S., Lehner, L., et al. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.064019 · Cited by 23

Twistor theory and the energy—momentum and angular momentum of the gravitational field at spatial infinity

Shaw, W. T. (1983) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1983.0127 · Cited by 23

The Geometry of Pure Spinors, with Applications

Charlton, P. (1997) · Cited by 23

Twistorial phase space for complex Ashtekar variablesPreprint

Wieland, W. (2016) · Cited by 31

Tetrads in SU(N) Yang–Mills geometrodynamics

Garat, A. (2019) · International Journal of Modern Physics A · doi:10.1142/s0217751x19501616 · Cited by 22

Holomorphic realization of -cohomology and constructions of representations

Eastwood, M. G., Gindikin, S., & Wong, H.-W. (1995) · Journal of Geometry and Physics · doi:10.1016/0393-0440(95)00035-g · Cited by 22

Fields of accelerated sources: Born in de Sitter

Bičák, J., & Krtouš, P. (2005) · Journal of Mathematical Physics · doi:10.1063/1.2009647 · Cited by 22

Numerical evolutions of fields on the 2-sphere using a spectral method based on spin-weighted spherical harmonics

Beyer, F., Daszuta, B., Frauendiener, J., et al. (2014) · Classical and Quantum Gravity · doi:10.1088/0264-9381/31/7/075019 · Cited by 22

Spinors: A Mathematica package for doing spinor calculus in General Relativity

Gómez-Lobo, A., & Martín-García, J. M. (2012) · Computer Physics Communications · doi:10.1016/j.cpc.2012.04.024 · Cited by 22

The complex Goldberg–Sachs theorem in higher dimensions

Taghavi‐Chabert, A. (2012) · Journal of Geometry and Physics · doi:10.1016/j.geomphys.2012.01.012 · Cited by 22

The a-theorem and conformal symmetry breaking in holographic RG flows

Hoyos, C., Kol, U., Sonnenschein, J., et al. (2013) · Journal of High Energy Physics · doi:10.1007/jhep03(2013)063 · Cited by 22

C-projective geometry

Calderbank, D. M. J., Eastwood, M., Matveev, V. S., et al. (2021) · Memoirs of the American Mathematical Society · doi:10.1090/memo/1299 · Cited by 22

Electromagnetic fields with vanishing scalar invariants

Ortaggio, M., & Pravda, V. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/11/115010 · Cited by 22

Algebraic classification of homogeneous polynomial vector fields in the plane

Collins, C. B. (1996) · Japan Journal of Industrial and Applied Mathematics · doi:10.1007/bf03167299 · Cited by 22

Image distortion from optical scalars in nonperturbative gravitational lensing

Frittelli, S., Kling, T., & Newman, E. T. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.023007 · Cited by 22

Real and complex asymptotic symmetries in quantum gravity, irreducible representations, polygons, polyhedra, and the A, D, E series

McCarthy, P. J. (1992) · Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences · doi:10.1098/rsta.1992.0009 · Cited by 22

On a new normalization for tractor covariant derivatives

Hammerl, M., Somberg, P., Souček, V., et al. (2012) · Journal of the European Mathematical Society · doi:10.4171/jems/349 · Cited by 22

Clifford Analysis for Higher Spins

Souček, V. (1993) · Springer eBooks · doi:10.1007/978-94-011-2006-7_26 · Cited by 22

Contour integrals for the ultrahyperbolic wave equation

Woodhouse, N. M. J. (1992) · Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences · doi:10.1098/rspa.1992.0102 · Cited by 22

The vacuum and Bach equations in terms of light cone cuts

MASON, L. J. (1995) · Journal of Mathematical Physics · doi:10.1063/1.530992 · Cited by 22

A spacetime calculus based on a single null direction

Ramos, M. P. M., & Vickers, J. A. (1996) · Classical and Quantum Gravity · doi:10.1088/0264-9381/13/6/022 · Cited by 22

Twistor description of world surfaces and the action integral of strings

Gusev, O. E., & Zheltukhin, A. A. (1996) · Journal of Experimental and Theoretical Physics Letters · doi:10.1134/1.567223 · Cited by 22

The Eikonal equation in flat space: Null surfaces and their singularities. I

Frittelli, S., Newman, E. T., & Silva-Ortigoza, G. (1999) · Journal of Mathematical Physics · doi:10.1063/1.532777 · Cited by 22

Conformal Killing spinors and special geometric structures in Lorentzian geometry - a surveyPreprint

Baum, H. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.math/0202008 · Cited by 22

Symmetries and Exact Solutions of Nonlinear Dirac EquationsPreprint

Fushchych, W., & Zhdanov, R. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.math-ph/0609052 · Cited by 22

Black Hole Perturbation Theory and Gravitational Self-Force

Pound, A., & Wardell, B. (2022) · Springer eBooks · doi:10.1007/978-981-16-4306-4_38 · Cited by 21

BRST quantization of a particle in AdS5

Claus, P., Каллош, Р., & Rahmfeld, J. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)00931-4 · Cited by 21

COMPLEX ANALYSIS AND THE FUNK TRANSFORM

Bailey, T. N., Eastwood, M. G., Gover, A. R., et al. (2003) · Journal of the Korean Mathematical Society · doi:10.4134/jkms.2003.40.4.577 · Cited by 21

Twisted geometries, twistors, and conformal transformations

Långvik, M., & Simone Speziale, D. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.024050 · Cited by 21

The Dressing Field Method of Gauge Symmetry Reduction, a Review with Examples

Attard, J., François, J., Lazzarini, S., & Masson, T. (2018) · Springer eBooks · doi:10.1007/978-3-319-64813-2_13 · Cited by 21

Gravitational instantons admit hyper-Kahler structure

Aliev, A. N., & Nutku, Y. (1999) · Classical and Quantum Gravity · doi:10.1088/0264-9381/16/1/013 · Cited by 21

Gravitational and Electromagnetic Fields near a de Sitter–Like Infinity

Krtouš, P., Podolský, J., & Bičák, J. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.061101 · Cited by 21

Creation of fermions by rotating charged black-holesPreprint

Häfner, D. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.math/0612501 · Cited by 28

Twistor actions for gauge theory and gravityPreprint

Adamo, T. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1308.2820 · Cited by 21

Categories and the Foundations of Classical Field TheoriesPreprint

Weatherall, J. O. (2015) · PhilSci-Archive (University of Pittsburgh) · doi:10.48550/arxiv.1505.07084 · Cited by 21

Octonionic mobius transformationsPreprint

Manogue, C. A., & Dray, T. (1999) · Cited by 21

Holographic Carrollian currents for massless scattering

Ruzziconi, R., & Saha, A. (2025) · Journal of High Energy Physics · doi:10.1007/jhep01(2025)169 · Cited by 20

Superconformal quantum field theory in curved spacetime

de Medeiros, P., & Hollands, S. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/17/175015 · Cited by 20

Asymptotically Schrödinger space-times: TsT transformations and thermodynamics

Hartong, J., & Rollier, B. (2011) · Journal of High Energy Physics · doi:10.1007/jhep01(2011)084 · Cited by 20

Self-Dual Conformal Gravity

Dunajski, M., & Tod, P. (2014) · Communications in Mathematical Physics · doi:10.1007/s00220-014-2046-5 · Cited by 20

Superconformal geometries and local twistors

Howe, P., & Lindström, U. (2021) · Journal of High Energy Physics · doi:10.1007/jhep04(2021)140 · Cited by 20

Invariant Tensors and the Cyclic Sieving Phenomenon

Westbury, B. W. (2016) · The Electronic Journal of Combinatorics · doi:10.37236/4569 · Cited by 20

M�bius groups over general fields using clifford algebras associated with spheres

Fillmore, J. P., & Springer, A. (1990) · International Journal of Theoretical Physics · doi:10.1007/bf00673627 · Cited by 20

Apparent horizons in vacuum Robinson-Trautman spacetimes

Chow, E. W. M., & Lun, A. W. C. (1999) · ANZIAM Journal · doi:10.1017/s0334270000011176 · Cited by 20

The second order spin-2 system in flat space near space-like and null-infinity

Doulis, G., & Frauendiener, J. (2013) · General Relativity and Gravitation · doi:10.1007/s10714-013-1532-y · Cited by 20

The Dirac equation and the normalization of its solutions in a closed Friedmann– Robertson–Walker universe

Finster, F., & Reintjes, M. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/10/105021 · Cited by 20

Critical phenomena in the Einstein-massless-Dirac system

Ventrella, J. F., & Choptuik, M. W. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.68.044020 · Cited by 20

Germ of a synthesis: space–time is spinorial, extra dimensions are time-like

Sparling, G. A. J. (2007) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2007.1839 · Cited by 20

Characterization of (asymptotically) Kerr–de Sitter-like spacetimes at null infinity*

Mars, M., Paetz, T.-T., Martín Senovilla, J. M., et al. (2016) · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · Cited by 20

Complex-Distance Potential Theory and Hyperbolic Equations

Kaiser, G. (2000) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-1374-1_8 · Cited by 20

Remarks on pure spinors

Budinich, P., & Trautman, A. (1986) · Letters in Mathematical Physics · doi:10.1007/bf00574157 · Cited by 20

Verma modules and differential conformal invariants

Baston, R. J. (1990) · Journal of Differential Geometry · doi:10.4310/jdg/1214445537 · Cited by 20

An intrinsic tensor technique in Minkowski space with applications to boundary value problems

Borzdov, G. N. (1993) · Journal of Mathematical Physics · doi:10.1063/1.530069 · Cited by 20

Classical and quantum evolutions of the de Sitter and the anti-de Sitter universes in 2+1 dimensions

Ezawa, K. (1994) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.49.5211 · Cited by 20

Intersecting brane geometries

Figueroa-O'Farrill, J. M. (2000) · Journal of Geometry and Physics · doi:10.1016/s0393-0440(00)00002-4 · Cited by 20

An extension theorem for conformal gauge singularitiesPreprint

Tod, P., & Lübbe, C. (2009) · Cited by 20

Celestial $w_{1+\infty}$ charges and the subleading structure of asymptotically-flat spacetimes

Geiller, M. (2025) · SciPost Physics · doi:10.21468/scipostphys.18.1.023 · Cited by 28

Force-free foliations

Compère, G., Gralla, S. E., & Lupsasca, A. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.124012 · Cited by 19

Conserved charges in Chern-Simons modified theory and memory effects

Hou, S., Zhu, T., & Zhu, Z. (2022) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2022/04/032 · Cited by 19

Celestial Lw1+∞ charges from a twistor action

Kmec, A., MASON, L. J., Ruzziconi, R., et al. (2024) · Journal of High Energy Physics · doi:10.1007/jhep10(2024)250 · Cited by 19

Gravitational instantons and Euclidean supersymmetry

Gutowski, J., & Sabra, W. A. (2010) · Physics Letters B · doi:10.1016/j.physletb.2010.09.003 · Cited by 19

Entanglement classification of three fermions with up to nine single-particle states

Sárosi, G., & Lévay, P. (2014) · Physical Review A · doi:10.1103/physreva.89.042310 · Cited by 19

A beginner’s guide to the theory of CMB temperature and polarization power spectra in the line-of-sight formalism

Lin, Y., & Wandelt, B. D. (2006) · Astroparticle Physics · doi:10.1016/j.astropartphys.2005.12.002 · Cited by 26

Higher order statistics of weak lensing shear and flexion

Munshi, D., Smidt, J., Heavens, A., et al. (2011) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2010.17838.x · Cited by 19

On Twistors in Cantorian space

Naschie, M. S. E. (2001) · Chaos Solitons & Fractals · doi:10.1016/s0960-0779(00)00193-4 · Cited by 19

Causal concept for black hole shadows

Siino, M. (2020) · Classical and Quantum Gravity · doi:10.1088/1361-6382/abc440 · Cited by 19

Construction of Hyperboloidal Initial Data

Andersson, L. (2002) · Lecture notes in physics · doi:10.1007/3-540-45818-2_9 · Cited by 19

A Clifford algebra-based grand unification program of gravity and the Standard Model: a review study

Castro, C. (2014) · Canadian Journal of Physics · doi:10.1139/cjp-2013-0686 · Cited by 19

Natural symmetries of the Yang–Mills equations

Torre, C. G. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531103 · Cited by 19

Extracting the late-time kinetic Sunyaev–Zel'dovich effect

Munshi, D., Iliev, I. T., Dixon, K. L., et al. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw2067 · Cited by 19

Coordinate-free action for AdS3 higher-spin-matter systems

Prokushkin, S. F., Segal, A. Y., & Vasiliev, M. A. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00258-6 · Cited by 19

Null cones in Schwarzschild geometry

Kling, T., & Newman, E. T. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.59.124002 · Cited by 19

On the relation between ADM and Bondi energy--momenta

Zhang, X. (2006) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2006.v10.n2.a5 · Cited by 19

MASSIVE SPINNING PARTICLE ON ANTI-DE SITTER SPACE

Kuzenko, S. M., Lyakhovich, S. L., Segal, A., et al. (1996) · International Journal of Modern Physics A · doi:10.1142/s0217751x96001589 · Cited by 19

General Relativity with TorsionPreprint

Watanabe, T., & Hayashi, M. J. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0409029 · Cited by 40

Gravity from holomorphic discs and celestial $$Lw_{1+\infty }$$ symmetries

MASON, L. J. (2023) · Letters in Mathematical Physics · doi:10.1007/s11005-023-01735-2 · Cited by 18

Mathematical Structures of Space-Time

Esposito, G. V. M. (1992) · Fortschritte der Physik/Progress of Physics · doi:10.1002/prop.2190400102 · Cited by 16

Weyl tensor classification in four-dimensional manifolds of all signatures

Batista, C. (2013) · General Relativity and Gravitation · doi:10.1007/s10714-013-1499-8 · Cited by 18

Complexes of invariant operators in several quaternionic variables

Buresbreve, J., & Sou[cbreve]ek, V. (2006) · Complex Variables and Elliptic Equations · doi:10.1080/17476930500482473 · Cited by 18

Tractors and twistors from conformal Cartan geometry: a gauge theoretic approach II. Twistors

Attard, J., & François, J. (2017) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aa627d · Cited by 18

Quantum Trajectories: Real or Surreal?

Hiley, B. J., & Reeth, P. V. (2018) · Entropy · doi:10.3390/e20050353 · Cited by 18

The D 2k R 4 invariants of $ \mathcal{N} = 8 $ supergravity

Freedman, D. Z., & Tonni, E. (2011) · Journal of High Energy Physics · doi:10.1007/jhep04(2011)006 · Cited by 18

Covariant phase space for gravity with boundaries: Metric versus tetrad formulations

G., J. F. B., Margalef-Bentabol, J., Varo, V., et al. (2021) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.104.044048 · Cited by 18

Two-Spinors, Field Theories and Geometric Optics in Curved Spacetime

Canarutto, D. (2000) · Acta Applicandae Mathematicae · doi:10.1023/a:1006455216170 · Cited by 18

The Infeld-van der Waerden formalisms for general relativity

Cardoso, J. G. (2005) · Czechoslovak Journal of Physics · doi:10.1007/s10582-005-0051-9 · Cited by 18

Image distortion in nonperturbative gravitational lensing

Frittelli, S., Kling, T., & Newman, E. T. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.023006 · Cited by 18

Investigations of solutions of Einstein's field equations close to λ-Taub–NUT

Beyer, F. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/23/235005 · Cited by 18

Electromagnetic fields with vanishing quantum corrections

Ortaggio, M., & Pravda, V. (2018) · Physics Letters B · doi:10.1016/j.physletb.2018.01.024 · Cited by 18

From the Geometry of Pure Spinors with Their Division Algebras to Fermion Physics

Budinich, P. (2002) · Foundations of Physics · doi:10.1023/a:1020307822626 · Cited by 18

Twistors as Spin 3/2 Charges

Penrose, R. (1991) · Springer eBooks · doi:10.1007/978-1-4899-0620-5_12 · Cited by 18

Purely magnetic space–times

Haddow, B. M. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531291 · Cited by 18

Phase transitions in spin systems with frustrations

Gekht, R. S., & Ponomarev, V. I. (1990) · Phase Transitions · doi:10.1080/01411599008206867 · Cited by 18

Petrov classification of perturbed spacetimes: the Kasner example

Cherubini, C., Bini, D., Bruni, M., et al. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/21/006 · Cited by 18

Conditions for non-existence of static or stationary, Einstein–Maxwell, non-inheriting black-holes

Tod, P. (2006) · General Relativity and Gravitation · doi:10.1007/s10714-006-0363-5 · Cited by 18

Relativistic dynamics of spin-one particles and deuteron-nucleus scattering

Santos, F. D., & van Dam, H. (1986) · Physical Review C · doi:10.1103/physrevc.34.250 · Cited by 18

Real Kasner and related complex ?windmill? vacuum spacetime metrics

McIntosh, C. (1992) · General Relativity and Gravitation · doi:10.1007/bf00760081 · Cited by 18

Spinor fields and the positive energy theorem

Dimakis, A., & Müller-Hoissen, F. (1990) · Classical and Quantum Gravity · doi:10.1088/0264-9381/7/3/005 · Cited by 18

An Analysis of The Way to Argue in Articles of Exposition in Huai Nan Zi

Xiu-lin, D. (2009) · Journal of Shenyang Normal University

On writing methods of exposition

Yan, A. (2003) · Journal of Pingdingshan Institute of Technology

Understanding relativistic time: Exploring the concepts of spacetime and time dilation

Lingefjärd, T. (2023) · Journal of Mathematics and Science Teacher · doi:10.29333/mathsciteacher/13192

Space time and the passage of timePreprint

Ellis, G., & Goswami, R. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1208.2611 · Cited by 1

A Characterization of Cosmological Time Functions

Fernández-López, M., García‐Río, E., & Küpeli, D. N. (2002) · Annals of Global Analysis and Geometry · doi:10.1023/a:1014237721687 · Cited by 4