Dilaton Mass Formulas in a Hairy Binary Black Hole Model

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.

16 pages, 5 figures, to appear

References in corpus (3)

• The self-consistent gravitational self-force
• Hairy binary black holes in Einstein-Maxwell-dilaton theory and their effective-one-body description
• On the motion of hairy black holes in Einstein-Maxwell-dilaton theories

Cited by in corpus (1)

• Dilatonic (Anti-)de Sitter Black Holes and Weak Gravity Conjecture