Some remarks on the Einstein and Møller pseudotensors for static and spherically-symmetric configurations

Abstract

It is shown that for the spherically-symmetric and static systems the hypotheses posed by Yang and Radinschi and by Vagenas can be related to the particular distribution of the source. Simple proofs are given and a number of examples are discussed with the special emphasis put on the quantum corrected Schwarzschild black hole.

References in corpus (16)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Dirty blackholes: Thermodynamics and horizon structure
• Pseudotensors and quasilocal energy-momentum
• Naked singularities and Seifert's conjecture
• Energy and angular momentum of charged rotating black holes
• Energy and momentum of cylindrical gravitational waves. II
• Stress-energy tensor of neutral massive fields in the Reissner-Nordstrom spacetime
• Møller Energy for the Kerr-Newman metric
• Vacuum polarization of massive scalar fields in the spacetime of the electrically charged nonlinear black hole
• Energy distribution in the dyadosphere of a Reissner-Nordstrom black hole in Moller's prescription
• Extremal limit of the regular charged black holes in nonlinear electrodynamics
• Møller energy of the nonstatic spherically symmetric metrics
• Black Holes with a Generalized Gravitational Action
• Bergmann-Thomson energy-momentum complex for solutions more general than the Kerr-Schild class

Cited by in corpus (15)

• Energy distribution of 2+1 dimensional black holes with nonlinear electrodynamics
• Regular black holes in an asymptotically de Sitter universe
• On the energy of charged black holes in generalized dilaton-axion gravity
• The Energy of Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• On the energy of Hořava-Lifshitz black holes
• Energy-momentum Prescriptions in General Spherically Symmetric Space-times
• Energy Distribution of a Regular Class of Exact Black Hole Solutions
• Vacuum polarization of the quantized massive scalar field in Reissner-Nordström spacetime
• Energy distribution of a regular black hole solution in Einstein-nonlinear electrodynamics
• Energy Distribution for Non-commutative Radiating Schwarzschild Black Holes
• Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-singular Black Hole Space-time Geometry
• Localization of Energy-Momentum for a Black Hole Spacetime Geometry with Constant Topological Euler Density
• The general set of Noetherian energy-momentum tensors in linearized gravity: mathematical framework
• Energy-momentum for a charged nonsingular black hole solution with a nonlinear mass function
• On the energy of a non-singular black hole solution satisfying the weak energy condition