On the Difference of Energy between the Einstein and M{\o}ller Prescription
I-Ching Yang (Dep. of Natural Science Education, Advanced Science, and Technology Research Center, Natl. Taitung Teachers College), Irina, Radinschi (Dep. of Physics, "Gh. Asachi" Technical U.)
TL;DR
This paper investigates the energy difference between Einstein and Møller prescriptions in black hole solutions, revealing a special relation with the energy density, which enhances understanding of energy-momentum complexes in these spacetimes.
Contribution
It identifies a unique relation between the energy difference of Einstein and Møller prescriptions and the energy density in black hole solutions.
Findings
A specific relation between energy difference and energy density is established.
The energy difference varies depending on the black hole solution.
The study clarifies the connection between different energy-momentum complexes.
Abstract
In some black hole solutions, these do not exist the same energy-momentum complexes associated with using definition of Einstein and M{\o}ller in given coordinates. Here, we consider the difference of energy between the Einstein and M{\o}ller prescription, and compare it with the energy density of those black hole solutions. We found out a special relation between the difference of energy between the Einstein and M{\o}ller prescription and the energy density for considered black hole solutions.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Relativity and Gravitational Theory · Astrophysical Phenomena and Observations