Unconstrained hyperboloidal evolution of black holes in spherical symmetry with GBSSN and Z4c

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

Vañó-Viñuales, Alex^1 ; Husa, Sascha^1

Universitat de les Illes Balears, Institut d'Estudis Espacials de Catalunya, Cra. de Valldemossa km.7.5, Palma de Mallorca

07122, Spain^1

关键词: Compact objects;    Einstein equations;    Gauge conditions;    Numerical relativity;    Numerical treatments;    Scalar fields;    Singular PDEs;    Spherical symmetry;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012061/pdf
DOI  :  10.1088/1742-6596/600/1/012061

来源: IOP

【 摘 要 】

We consider unconstrained evolution schemes for the hyperboloidal initial value problem in numerical relativity as a promising candidate for the optimally efficient numerical treatment of radiating compact objects. Here, spherical symmetry already poses nontrivial problems and constitutes an important first step to regularize the resulting singular PDEs. We evolve the Einstein equations in their generalized BSSN and Z4 formulations coupled to a massless self-gravitating scalar field. Stable numerical evolutions are achieved for black hole initial data, and critically rely on the construction of appropriate gauge conditions.