6533b862fe1ef96bd12c64a8

RESEARCH PRODUCT

Trapping Horizons as inner boundary conditions for black hole spacetimes

José Luis JaramilloJosé Luis JaramilloJosé María IbáñezEric GourgoulhonIsabel Cordero-carrión

subject

PhysicsNuclear and High Energy PhysicsEvent horizonWhite holeBoundary conformal field theoryFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologyGeneral Relativity and Quantum CosmologyClassical mechanicsRotating black holeNonsingular black hole modelsExtremal black holeFree boundary problemBoundary value problem

description

We present a set of inner boundary conditions for the numerical construction of dynamical black hole space-times, when employing a 3+1 constrained evolution scheme and an excision technique. These inner boundary conditions are heuristically motivated by the dynamical trapping horizon framework and are enforced in an elliptic subsystem of the full Einstein equation. In the stationary limit they reduce to existing isolated horizon boundary conditions. A characteristic analysis completes the discussion of inner boundary conditions for the radiative modes.

https://dx.doi.org/10.48550/arxiv.0709.2842