Covariant Conservation Laws in General Relativity

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Conservation Laws in General Relativity

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Uber Die Ausdrucke Der Gesamtenergie Und Des Gesamtimpulses Eines Materiellen Systems in Der Allgemeinen Relativitatstheorie

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Conservation Laws in General Relativity as the Generators of Coordinate Transformations

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Gravitational energy in asymptotically anti–de Sitter spacetimes

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Nonperturbative quantum correction to the Reissner-Nordström spacetime with running Newton’s constant

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Binary black hole system at equilibrium

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Energy contents of some non-vacuum spacetimes in teleparallel gravity

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ENERGY–MOMENTUM DISTRIBUTION: SOME EXAMPLES

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Proposal for determining the energy content of gravitational waves by using approximate symmetries of differential equations

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The general theory of relativity is correct!

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Hamiltonian dynamics of gauge theories of gravity

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Geometry of Carrollian stretched horizons

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Charges in nonlinear higher-spin theory

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On the Energy of Hořava–Lifshitz Black Holes

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Energy localization invariance of tidal work in general relativity

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ENERGY–MOMENTUM OF A REGULAR MMaS–CLASS BLACK HOLE

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A critical inquiry into the objection of M�ller to his energy-momentum complex

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Einstein-Dirac theory on gauge-natural bundles

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Hamiltonian, energy and entropy in general relativity with non-orthogonal boundaries

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Hairy black holes, scalar charges and extended thermodynamics

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Rotating kiselev black holes in f(R, T) gravity

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Energy-Momentum Squared Gravity: A Brief Overview

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Conserved quantities and Virasoro algebra in new massive gravity

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Mass variation formulae for Einstein-Yang-Mills-Higgs and Einstein-dilaton black holes

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Energy contents of some well-known solutions in teleparallel gravity

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Einstein Energy-Momentum Complex for a Phantom Black Hole Metric

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Metric for two equal Kerr black holes

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Asymptotic Properties of Isolated Systems: Recent Developments

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Pressure as a source of gravity

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Pseudotensors in asymptotically curvilinear coordinates

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Global Generalized Bianchi Identities for Invariant Variational Problems on Gauge-natural BundlesPreprint

Palese, M., & Winterroth, E. (2003) · arXiv (Cornell University) · doi:10.48550/arxiv.math-ph/0311003 · Cited by 18

10 Energy Contents of Some Well-Known Solutions in Teleparallel GravityPreprint

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Collisions and particle dynamics around black holes surrounded by PFDM in STVG

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Angular Momentum of Isolated Systems in General Relativity

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Entropy extremum of relativistic self-bound systems: A geometric approach

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Center of mass and spin for isolated sources of gravitational radiation

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It ain't necessarily so: Gravitational waves and energy transport

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Energy Distribution Associated with Static Axisymmetric Solutions

Sharif, M., & Fatima, T. (2006) · Astrophysics and Space Science · doi:10.1007/s10509-006-9037-8 · Cited by 17

Møller’s Energy-Momentum Complex for a Spacetime Geometry on a Noncommutative Curved D3-Brane

Radinschi, I., & Grammenos, T. (2007) · International Journal of Theoretical Physics · doi:10.1007/s10773-007-9578-9 · Cited by 17

Skeleton approximate solution of the Einstein field equations for multiple black-hole systems

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A Hamiltonian structure of the interacting gravitational and matter fields

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Thermodynamics of black holes with Rényi entropy from classical gravity

Nakarachinda, R., Promsiri, C., Tannukij, L., & Wongjun, P. (2025) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2025.116796 · Cited by 16

Unstable fields in Kerr spacetimes

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Stationary black diholes

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Covariant differential identities and conservation laws in metric-torsion theories of gravitation. I. General consideration

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Conformal-thin-sandwich initial data for a single boosted or spinning black hole puncture

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Generalized entropies and the expansion law of the universe

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Many accelerating distorted black holes

Astorino, M., & Viganò, A. (2021) · The European Physical Journal C · doi:10.1140/epjc/s10052-021-09693-6 · Cited by 16

An interesting property of the isotropic and homogeneous cosmological models

Garecki, J. (1995) · General Relativity and Gravitation · doi:10.1007/bf02105673 · Cited by 16

Axisymmetric Numerical RelativityPreprint

Rinne, O. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0601064 · Cited by 16

Energy Distribution associated with Static Axisymmetric SolutionsPreprint

Sharif, M., & Fatima, T. T. (2006) · Cited by 16

Shadows and parameter estimation of rotating quantum corrected black holes and constraints from EHT observation of M87* and Sgr A*

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FROM BLACK HOLES TO EMERGENT GRAVITY

Banerjee, R. (2010) · International Journal of Modern Physics D · doi:10.1142/s0218271810018475 · Cited by 15

Surface stress tensor and junction conditions on a rotating null horizon

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Invariant conserved currents in generalized gravity

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An analytic effective model for hairy black holes

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Gravitational energy of Kerr and Kerr anti-de Sitter space-times in the teleparallel geometry

da Rocha-Neto, J. F., & Castello-Branco, K. H. C. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/11/002 · Cited by 15

Symmetry inheritance in Riemannian manifolds with physical applications

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Horizon entanglement area law from regular black hole thermodynamics

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Entropy product formula for a spinning BTZ black hole

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Unequal binary configurations of interacting Kerr black holes

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Mechanical stability of asymptotically flat black holes with minimally coupled scalar hair

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Intrinsic angular momentum for radiating spacetimes which agrees with the Komar integral in the axisymmetric case

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Radiation memory, boosted Schwarzschild spacetimes and supertranslations

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Metric for two arbitrary Kerr sources

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Axially symmetricpp-waves and their interpretation as extended massless particles

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The need for dark matter in galaxies

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Quadratic gravity as hair tonic for black holes

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Energy in Einstein$ndash$Maxwell theory and the first law of isolated horizons via the Noether theorem

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Entropy bound of horizons for accelerating, rotating and charged Plebanski–Demianski black hole

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Cosmic string and black hole limits of toroidal Vlasov bodies in general relativity

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Charged and rotating multi-black holes in an external gravitational field

Astorino, M., & Viganò, A. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-10787-y · Cited by 13

The extremal Kerr entropy in higher-derivative gravities

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Wald entropy in Kaluza-Klein black holes

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Reference frames in general relativity and the galactic rotation curves

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On Teleparallel Quantum Gravity in Schwarzschild Space-Time

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Outer entropy and quasilocal energy

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ENERGY–MOMENTUM PRESCRIPTIONS IN GENERAL SPHERICALLY SYMMETRIC SPACETIMES

MIRSHEKARI, S., & Abbassi, A. M. (2009) · Modern Physics Letters A · doi:10.1142/s0217732309028679 · Cited by 13

Gravitational waves and dragging effects

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Some globally conserved currents from generalized Killing vectors and scalar test fields

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Canonical superenergy tensors in general relativity

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On the conservation laws of the theory of general relativity

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Conserved non-Noether charge in general relativity: Physical definition versus Noether’s second theorem

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Rotating Yukawa-modified black holes: QNM and shadow studies

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Astrophysical signatures of rotating Kazakov-Solodukhin black holes: shadows and constraints from EHT observations

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Smooth extremal horizons are the exception, not the rule

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A new black hole solution in dilaton gravity inspired by power-law electrodynamics

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The characteristic gluing problem for the Einstein equations and applications

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Notes on Conservation Laws, Equations of Motion of Matter, and Particle Fields in Lorentzian and Teleparallel de Sitter Space-Time Structures

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A set of invariant quality factors measuring the deviation from the Kerr metric

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Neutron Stars in Teleparallel Gravity

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Spacetime symmetries and topology in bimetric relativity

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On the equilibrium of charged masses in general relativity: II. The stationary electrovacuum case

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Effective Values of Komar Conserved Quantities and Their Applications

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Boundary conditions in first order gravity: Hamiltonian and ensemble

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Cosmological Constant Problem

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Angular momentum in general relativity

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Conservative quantities and their algebra in the self-dual gravity

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Metric-affine gravity and the Nester–Witten 2-form

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Approximate Killing Fields as an Eigenvalue ProblemPreprint

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The analog of electric and magnetic fields in stationary gravitational systems

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The Maxwell and Navier-Stokes equations that follow from Einstein equation in a spacetime containing a Killing vector field

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Conservation Laws of the general theory of relativity

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Covariant formulation of the weak conservation law in the general theory of relativity without the energy-momentum of the gravitational field

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On Synge's covariant conservation laws for general relativity

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Conservation Laws in General Relativity as the Generators of Coordinate Transformations

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