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Dilaton mass formulas in a hairy binary black hole model

Shouxin Chen

School of Mathematics and Statistics, Henan University, Kaifeng, Henan 475004, P. R. China

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and

Yisong Yang

Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA

E-mail Address: yisongyang@nyu.edu

Corresponding author.

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https://doi.org/10.1142/S0217732320502776Cited by:2 (Source: Crossref)

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.

Keywords:

PACS: 04.20.-q, 04.20.Jb, 04.70.Bw

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