2021/05/04 by S. Lepe, Lepe, S., C. Riquelme +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2105.01700
openalex publication_date 2021/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss a four-dimensional gravitational action which was obtained replacing a Randall-Sundrum type metric in the so called five-dimensional Einstein-Chern-Simons gravity action. We studied black hole solutions of the corresponding 4-dimensional gravitational field equations. It is found that for a spherically symmetric metric such equations lead to a spacetime with a cosmological constant inversely proportional to the square of the compactification radius and to one solution dependent on an arbitrary constant C. If this constant is negative, we find a Schwarzschid-de Sitter black hole. If C is positive, the solution can be understood as a white hole solution which is obtained applying to the solution with C<0 the discrete coordinate transformation PT accompanied by the transformation C -C, with C>0, corresponding to a transformation known as mass reversal.