Time-symmetric initial data of large brane-localized black hole in RS-II model

Understand

In the aim of shedding a new light on the classical black hole evaporation conjecture stating that a static brane-localized black hole (BH) larger than the bulk curvature scale does not exist in Randall-Sundrum II (RS-II) model, we investigate time-symmetric initial data with a brane-localized apparent horizon (AH) and analyzed its properties.

• We find that a three-parameter family of such initial data can be constructed by simply placing a brane on a constant time surface of Schwarzschild anti-de Sitter space.
• By this method, we unambiguously confirm that initial data with an arbitrarily large AH area do exist.
• We compare the ADM mass and the horizon area of our initial data with that of the black string (BS) solution, and find that any initial data constructed by this method do not have a smaller mass than the BS solution when the horizon area is larger than the size determined by the bulk curvature scale.