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Localization of Energy-Momentum for a Black Hole Spacetime Geometry with\n Constant Topological Euler Density

2018/07/01 by Irina Radinschi, Theophanes Grammenos, Radinschi, Irina +11
Physics and Astronomy · #58K65 #83C40 #83C57 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1807.00300

openalex publication_date 2018/07/01 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

Abstract

The evaluation of the energy-momentum distribution for a new\nfour-dimensional, spherically symmetric, static and charged black hole\nspacetime geometry with constant non-zero topological Euler density is\nperformed by using the energy-momentum complexes of Einstein and M oller.\nThis black hole solution was recently developed in the context of the coupled\nEinstein--non-linear electrodynamics of the Born-Infeld type. The energy is\nfound to depend on the mass M and the charge q of the black hole, the\ncosmological constant \Λ and the radial coordinate r, while in both\nprescriptions all the momenta vanish. Some limiting and particular cases are\nanalyzed, illustrating the rather extraordinary character of the spacetime\ngeometry considered.\n

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