Dilaton Mass Formulas in a Hairy Binary Black Hole Model
General Relativity and Quantum Cosmology
2022-06-27 v2 Mathematical Physics
math.MP
Abstract
In this note an analytic integration is obtained for the differential equation governing the scalar-field-dependent mass in a hairy binary black hole model, in the context of the Einstein--Maxwell--dilation theory, which gives a closed-form formula-level description of the mass function. We also identify a particular solution which attracts all solutions of the mass-governing equation exponentially rapidly in large-dilaton-field limit.
Cite
@article{arxiv.1904.09944,
title = {Dilaton Mass Formulas in a Hairy Binary Black Hole Model},
author = {Shouxin Chen and Yisong Yang},
journal= {arXiv preprint arXiv:1904.09944},
year = {2022}
}
Comments
16 pages, 5 figures, to appear