The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Quasi-local mass and cosmological singularities
Open accessAbstract
This paper is in two parts. In the first part, the author makes a conjecture connected with Penrose's hypothesis of zero Weyl tensor at initial singularities and presents some evidence for believing in it. In the second, he calculates the quasi-local mass of a comoving cylinder in some LRS cosmological models and investigates its behaviour near a singularity.
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“An important class of singularities which automatically satisfy a version of the WCH (stating that the Weyl curvature remains finite at singularity) are the isotropic singularities .”
From On the Weyl curvature hypothesis (2013) · cites this paper as [5]
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“The metric tensor in this case can be obtained by a conformal rescaling from a regular ( i.e. non-singular) metric tensor, and presents nice behavior from conformal geometric viewpoint. Because the Weyl tensor C abc d is invariant at conformal rescaling, the main feature of the isotropic singularities is that the Weyl tensor equals that of a regular metric, hence remaining finite.”
From On the Weyl curvature hypothesis (2013) · cites this paper as [5]
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Citations
Cites
Investigations in relativistic cosmology
LIFSHITZ, E. M., & Khalatnikov, I. M. (1963) · Advances In Physics · doi:10.1080/00018736300101283 · Cited by 915
A general solution of the Einstein equations with a time singularity
Belinskii, V. A., Khalatnikov, I. M., & Lifshitz, E. M. (1982) · Advances in Physics · doi:10.1080/00018738200101428 · Cited by 719
Quasi-local mass and angular momentum in general relativity
Penrose, R. (1982) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1982.0058 · Cited by 380
Velocity-Dominated Singularities in Irrotational Dust Cosmologies
Eardley, D. M., Liang, E., & Sachs, R. K. (1972) · Journal of Mathematical Physics · doi:10.1063/1.1665859 · Cited by 208
Plane symmetric self-gravitating fluids with pressure equal to energy density
Tabensky, R., & Taub, A. H. (1973) · Communications in Mathematical Physics · doi:10.1007/bf01661153 · Cited by 196
Barrow, J. D. (1978) · Nature · doi:10.1038/272211a0 · Cited by 183
Singularities in Bianchi cosmologies
Collins, C. B., & Ellis, G. (1979) · Physics Reports · doi:10.1016/0370-1573(79)90065-6 · Cited by 154
Stephani, H. (1967) · Communications in Mathematical Physics · doi:10.1007/bf01645757 · Cited by 146
Quantum effects in the early universe. III. Dissipation of anisotropy by scalar particle production
Hartle, J. B., & Hu, B. L. (1980) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.21.2756 · Cited by 138
Isotropic singularities in cosmological models
Goode, S. W., & Wainwright, J. (1985) · Classical and Quantum Gravity · doi:10.1088/0264-9381/2/1/010 · Cited by 132
Some examples of Penrose’s quasi-local mass construction
Tod, K. P. (1983) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1983.0092 · Cited by 123
Self-citationThe homogeneity and isotropy of the Universe
Barrow, J. D., & Matzner, R. A. (1977) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/181.4.719 · Cited by 121
Barrow, J. D., & Turner, M. S. (1981) · Nature · doi:10.1038/292035a0 · Cited by 109
Singularities and evolution of the Szekeres cosmological models
Goode, S. W., & Wainwright, J. (1982) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.26.3315 · Cited by 96
Some New General Relativistic Dust Metrics Possessing Isometries
Farnsworth, D. L. (1967) · Journal of Mathematical Physics · doi:10.1063/1.1705157 · Cited by 61
On the global geometry of the stephani universe
Krasiński, A. (1983) · General Relativity and Gravitation · doi:10.1007/bf00759044 · Cited by 54
More on Penrose's quasi-local mass
Tod, K. P. (1986) · Classical and Quantum Gravity · doi:10.1088/0264-9381/3/6/016 · Cited by 38
Self-citationFriedmann-like singularities in Szekeres' cosmological models
Goode, S. W., & Wainwright, J. (1982) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/198.1.83 · Cited by 34
Penrose's quasi-local mass and the isoperimetric inequality for static black holes
Tod, K. P. (1985) · Classical and Quantum Gravity · doi:10.1088/0264-9381/2/4/001 · Cited by 25
Self-citationShaw, W. T. (1983) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1983.0127 · Cited by 23
théorique, É. D. D. P., DeWitt-Morette, C., & DeWitt, B. S. (1964) · Gordon and Breach eBooks · Cited by 22
A cosmological model in which “singularity” does not require a “matter singularity”
Shepley, L. C. (1969) · Physics Letters A · doi:10.1016/0375-9601(69)90692-6 · Cited by 19
Quasi-local mass for small surfaces
Kelly, R., Tod, K. P., & Woodhouse, N. M. J. (1986) · Classical and Quantum Gravity · doi:10.1088/0264-9381/3/6/015 · Cited by 18
Self-citationVorticity and isotropic singularities
Goode, S. W. (1987) · General Relativity and Gravitation · doi:10.1007/bf00759143 · Cited by 13
Book-Review - Stellar Radial Velocities - I.A.U. COLL.88
Philip, A. G. D., Latham, D. W., & Stickland, D. J. (1986) · Observatory · Cited by 9
The Newtonian limit of Penrose's quasi-local mass
Jeffryes, B. P. (1986) · Classical and Quantum Gravity · doi:10.1088/0264-9381/3/5/014 · Cited by 8
Spinor fields at spacelike infinity
Shaw, W. T. (1983) · General Relativity and Gravitation · doi:10.1007/bf00761582 · Cited by 6
Penrose's quasi-local mass in the Kantowski-Sachs closed universe
Tipler, F. J. (1985) · Classical and Quantum Gravity · doi:10.1088/0264-9381/2/5/001 · Cited by 5
Research works printed but not linked: 4
- Jeffryes B P, 1984, (Lecture Notes in Phys., 202)
- Penrose R, 1986, The Observatory, 106, 20
- Wainwright J, 1984, Gen. Rel. Grav., 16, 610
- Zeldovich Ya B, 1971, Sov. Phys.-JETP, 34, 1159
Cited by
Sorted by citations
Quasi-Local Energy-Momentum and Angular Momentum in General Relativity
Szabados, L. B. (2009) · Living Reviews in Relativity · doi:10.12942/lrr-2009-4 · Cited by 351
Isotropic Cosmological Singularities: I. Polytropic Perfect Fluid Spacetimes
Anguige, K., & Tod, K. P. (1999) · Annals of Physics · doi:10.1006/aphy.1999.5946 · Cited by 72
Self-citationIsotropic singularities and the γ=2 equation of state
Tod, K. P. (1990) · Classical and Quantum Gravity · doi:10.1088/0264-9381/7/1/004 · Cited by 33
Self-citationOn the Weyl curvature hypothesis
Stoica, O. C. (2013) · Annals of Physics · doi:10.1016/j.aop.2013.08.002 · Cited by 22
Nesteruk, A. V. (1994) · Classical and Quantum Gravity · doi:10.1088/0264-9381/11/1/004 · Cited by 10
Metadata
- Authors
- Tod, K. P.
- Affiliations
- University of Oxford (GB)
- Corresponding author
- Tod, K P
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1987-09-01
- Volume
- 4
- Issue
- 5
- Pages
- 1457-1468
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2013362120
- Semantic Scholar
- aea41e46a56204d189f4f8e3dab96511f86c8783
- Cited by
- 29
- References
- 28
- Citations by year
- 2024: 1 · 2016: 1 · 2015: 1 · 2014: 4 · 2013: 4
- FWCI
- 1.33
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- quasi-local mass, cosmological singularity, Penrose conjecture, initial singularity
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