Static and spherically symmetric general relativity solutions in Minimal Theory of Bigravity

Autor: Minamitsuji, Masato, De Felice, Antonio, Mukohyama, Shinji, Oliosi, Michele
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.105.123026
Popis: We investigate static and spherically symmetric solutions in the Minimal Theory of Bigravity (MTBG). First, we show that a pair of Schwarzschild-de Sitter spacetimes with different cosmological constants and black hole masses written in the spatially-flat Gullstrand-Painlev\'e (GP) coordinates is a solution in the self-accelerating branch of MTBG, while it cannot be a solution in the normal branch. We then illustrate how Schwarzschild-de Sitter solutions can become compatible with the normal branch when using different coordinates. We also confirm that the self-accelerating branch of MTBG admits static and spherically symmetric general relativity solutions with matter written in the spatially-flat coordinates, including neutron stars with arbitrary matter equations of state. Finally, we show that in the self-accelerating branch nontrivial solutions are given by the Schwarzschild-de Sitter metrics written in nonstandard coordinates.
Comment: 19 pages
Databáze: arXiv