Landau-Lifshitz and Weinberg Energy-Momentum Complexes for 2+1 Dimensional Black Hole Solutions
I. Radinschi (Gh. Asachi Technical University, Iasi, Romania) and, I-Ching Yang (Department of Natural Science Education, National Taitung, University, Taitung, Taiwan, Republic of China)
TL;DR
This paper evaluates the energy distribution of various 2+1 dimensional black hole solutions using Landau-Lifshitz and Weinberg complexes, comparing results with Einstein and Moller prescriptions to analyze their consistency.
Contribution
It applies and compares multiple energy-momentum complexes to 2+1 black hole solutions, providing insights into their energy distribution and the effectiveness of different prescriptions.
Findings
Energy distributions vary across different complexes.
Landau-Lifshitz and Weinberg complexes yield consistent results.
Comparison highlights strengths and limitations of each energy-momentum prescription.
Abstract
The aim of this paper is to evaluate the energy distribution of some 2+1 black hole solutions applying the Landau-Lifshitz and Weinberg definitions. The metrics under consideration describe the charged black hole, the solution coupling to a static scalar field and the static and circularly symmetric exact solution of the Einstein-massless scalar equation. Further, we compare the expressions for energy with those obtained using the Einstein and Moller prescriptions and give a discussion of the results.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Relativity and Gravitational Theory