Quasi-Normal Modes of a Schwarzschild White Hole

Abstract

We investigate perturbations of the Schwarzschild geometry using a linearization of the Einstein vacuum equations within a Bondi-Sachs, or null cone, formalism. We develop a numerical method to calculate the quasi-normal modes, and present results for the case $\ell =2$. The values obtained are different to those of a Schwarzschild black hole, and we interpret them as quasi-normal modes of a Schwarzschild white hole.

5 pages, 4 Figures

References in corpus (6)

• Quasi-Normal Modes of Stars and Black Holes
• High-powered Gravitational News
• The eth formalism in numerical relativity
• Strategies for the Characteristic Extraction of Gravitational Waveforms
• Linearized solutions of the Einstein equations within a Bondi-Sachs framework, and implications for boundary conditions in numerical simulations
• Numerical relativity with characteristic evolution, using six angular patches

Cited by in corpus (8)

• Quasinormal modes of black holes: from astrophysics to string theory
• Resonances of a rotating black hole analogue
• Gravitational waves in a de Sitter universe
• Black holes, white holes, and near-horizon physics
• Simple, explicitly time-dependent and regular solutions of the linearized vacuum Einstein equations on a null cone
• Effect of a low density dust shell on the propagation of gravitational waves
• Quasinormal modes of a Schwarzschild black hole within the Bondi-Sachs framework
• The interaction between gravitational waves and a viscous fluid shell on a Schwarzschild background