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Black Plane Solutions and Localized Gravitational Energy
Paul Halpern1, Jennifer Roberts1
1Department of Mathematics, Physics and Statistics, University of the Sciences in Philadelphia, 600 S. 43rd Street, Philadelphia, PA 19104, USA.
International Scholarly Research Notices
|June 28, 2016
Summary
Gravitational energy localization was studied for specific solutions to Einstein-Maxwell equations. Three energy-momentum prescriptions yielded identical results, indicating their usefulness for these models.
Area of Science:
- Theoretical physics
- General relativity
- Gravitational energy localization
Background:
- Investigating energy localization in curved spacetime is crucial for understanding gravitational theories.
- Static plane-symmetric solutions in 3+1 dimensions with anti-de Sitter behavior are relevant for cosmological models.
Purpose of the Study:
- To determine the gravitational energy distribution for static plane-symmetric solutions of the Einstein-Maxwell equations.
- To compare the efficacy of three distinct energy-momentum complexes (Einstein, Landau-Lifshitz, Møller) for this specific class of solutions.
Main Methods:
- Application of Einstein, Landau-Lifshitz, and Møller energy-momentum complexes.
- Analysis of static plane-symmetric solutions to the Einstein-Maxwell equations in 3+1 dimensions.
- Calculation of energy distribution using each prescription.
Main Results:
- All three energy-momentum prescriptions (Einstein, Landau-Lifshitz, Møller) produced identical energy distributions.
- The chosen prescriptions are consistent for the analyzed spacetime geometry.
Conclusions:
- The Einstein, Landau-Lifshitz, and Møller energy-momentum complexes are suitable for determining gravitational energy localization in static plane-symmetric anti-de Sitter spacetimes.
- The consistency across different methods validates their application to this class of solutions.
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