New Solutions of the 2+1 Dimensional Einstein Gravity Coupled to Maxwell Power type Non Linear Electric field with Dilaton field

2014/09/17 by Masashi Kuniyasu, Kuniyasu, Masashi
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1409.4854

openalex publication_date 2014/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

New solutions are derived in the 2+1 gravity which is coupled to |\cal F|^k type non-linear electric field in Maxwell Power theory with dilaton field. We obtain consistent solutions in general k case. We also investigate the behavior of the metric function with the space-time singularity. Then, we found some black hole solutions when the space-time has a singular point at r=0. Addition, we derive the Brown-York mass when the space-time represents black hole.

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