Thick domain walls around a black hole

TL;DR

This paper investigates the interaction between thick domain walls and black holes by numerically solving scalar field equations in Schwarzschild spacetime, revealing limitations of the Nambu-Goto approximation near the horizon.

Contribution

It provides the first numerical solutions for thick domain walls around black holes and highlights the breakdown of the Nambu-Goto approximation in this regime.

Findings

Numerical solutions for static, axisymmetric thick domain walls around black holes.

The Nambu-Goto approximation fails near the black hole horizon.

Thick domain walls can be modeled in Schwarzschild spacetime with new solutions.

Abstract

We discuss the gravitationally interacting system of a thick domain wall and a black hole. We numerically solve the scalar field equation in the Schwarzschild spacetime and obtain a sequence of static axi-symmetric solutions representing thick domain walls. We find that, for the walls near the horizon, the Nambu--Goto approximation is no longer valid.