Energy-Momentum Distribution in General Relativity for a Phantom Black Hole Metric

Abstract

We use the Møller and Landau-Lifshitz energy-momentum definitions in General Relativity (GR) to evaluate the energy-momentum distribution of the phantom black hole space-time. The phantom black hole model was applied to the supermassive black hole at the Galactic Centre. We obtain that in both pseudotensorial prescriptions the energy distribution depends on the mass $M$ of the black hole, the phantom constant $p$ and the radial coordinate $r$. Further, all the calculated momenta are found to be zero. The limiting cases $r\to 0$, $r\to \infty$ and $r\to -\infty$ have also been the subject of the study.

arXiv commentTo appear in Indian Journal of Physics

References in corpus (41)

• Phantom Energy and Cosmic Doomsday
• Schwarzschild black hole lensing
• Can dark energy evolve to the Phantom?
• The geometry of photon surfaces
• Relativistic images of Schwarzschild black hole lensing
• Regular phantom black holes
• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Constructing Phantom Cosmologies from Standard Scalar Field Universes
• Scalar-Tensor Models of Normal and Phantom Dark Energy
• Energy and angular momentum of charged rotating black holes
• Quasilocal mass in general relativity
• Isometric embeddings into the Minkowski space and new quasi-local mass
• Energy Distribution in 2d Stringy Black Hole Backgrounds
• Energy distribution in a BTZ black hole spacetime
• Energy and Momentum Distributions of a (2+1)-dimensional black hole background
• Kerr-Newman Solution and Energy in Teleparallel Equivalent of Einstein Theory
• Energy-momentum complexes in f(R) theories of gravity
• Energy distribution in the dyadosphere of a Reissner-Nordstrom black hole in Moller's prescription
• General Spherically Symmetric Non Singular Black Hole Solutions in Teleparallel Theory of Gravitation
• Reissner-Nordström Spacetime in the Tetrad Theory of Gravitation
• Brane World black holes in Teleparallel Theory Equivalent to General Relativity and their Killing vectors, Energy, Momentum and Angular-Momentum
• Strong gravitational lensing in a black-hole spacetime dominated by dark energy
• Energy and Momentum in Spacetime Homogeneous G$\ddot{o}$del-type Metrics
• Bergmann-Thomson energy-momentum complex for solutions more general than the Kerr-Schild class
• Energy-momentum Distribution in Static and Non-static Cosmic String Space-times
• On the energy of charged black holes in generalized dilaton-axion gravity
• On the energy of Hořava-Lifshitz black holes
• Einstein energy-momentum complex for a phantom black hole metric
• Energy-Momentum Distribution: Some Examples
• Energy Contents of Some Well-Known Solutions in Teleparallel Gravity
• Energy Momentum Localization in Marder Space-Time
• Phantom Cosmology with Non-minimally Coupled Real Scalar Field
• Probing crunching AdS cosmologies
• Gravitational energy is well defined
• Energy Distribution in a Schwarzschild-like Spacetime
• Møller's Energy in the Kantowski-Sachs Space-time
• Energy Momentum of Marder Universe in Teleparallel gravity
• Energy and angular momentum of general 4-dimensional stationary axi-symmetric spacetime in teleparallel geometry
• $f(T)$ gravity and energy distribution in Landau-Lifshitz prescription
• Effective gravitational mass of the Ayón-Beato and Garc\'ıa metric
• Thermodynamical Properties and Quasi-localized Energy of the Stringy Dyonic Black Hole Solution

Cited by in corpus (1)

• Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-singular Black Hole Space-time Geometry