The dynamics of apparent horizons in Robinson-Trautman spacetimes

Abstract

We present an alternative scheme of finding apparent horizons based on spectral methods applied to Robinson-Trautman spacetimes. We have considered distinct initial data such as representing the spheroids of matter and the head-on collision of two non-rotating black holes. The evolution of the apparent horizon is presented. We have obtained in some cases a mass gap between the final Bondi and apparent horizon masses, whose implications were briefly commented in the light of the thermodynamics of black holes.

9 pages, 7 figures

References in corpus (5)

• Spectral Methods for Numerical Relativity
• Detectability of a phantom-like braneworld model with the integrated Sachs-Wolfe effect
• The low dimensional dynamical system approach in General Relativity: an example
• Numerical evolution of radiative Robinson-Trautman spacetimes
• Relic Radiation from an Evaporating Black Hole

Cited by in corpus (2)

• Black-hole horizons as probes of black-hole dynamics I: post-merger recoil in head-on collisions
• Gravitational wave recoils in non-axisymmetric Robinson-Trautman spacetimes