https://doi.org/10.1140/epjc/s10052-024-12683-z
Regular Article - Theoretical Physics
Microscopic state of BHs and an exact one body method for binary dynamics in general relativity
1
Beijing University of Technology, Chaoyang, 100124, Beijing, People’s Republic of China
2
Niels Bohr Institute, Blegdamsvej 17, 2100, Copenhagen, Denmark
Received:
21
December
2023
Accepted:
14
March
2024
Published online:
8
April
2024
In gravitational collapses, the horizon and singularity’s realisation in the finite future of the proper time used co-moving observer happens in the future of infinitely far away future of the normal time used outside probe. To the latter the horizon and singularity defined in the singularity theorem are physical realities only in the sense of uncertainty principle and ensemble interpretation. We provide two exact time dependent solution families to the Einstein equation and show that they form a pair of complementary description for the microscopic state of black holes by showing that the Bekenstein–Hawking entropy formula follows properly from their canonical wave function’s degeneracy. We also develop an eXact One Body method for general relativity two-body dynamics whose conservative part calls no post newtonian approximation as input and applies to the full three stages of black hole binary merger events. By this method, we analytically calculate the gravitational wave forms following from such merger processes. In the case black holes carry exact and apriori horizon and singularity our wave forms agree with those following from conventional effective one body method but exhibit more consistent late time behaviour. In the case black holes carry only asymptotic horizon and extended inner structure thus experiencing banana shape deformation as the merger occurs, our wave forms exhibit all features especially the late time quasi-normal mode type oscillation seen in real observations.
© The Author(s) 2024
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