Approximate analytical description of apparent horizons for initial data with momentum and spin

Autor: Altas, Emel, Tekin, Bayram
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. D 103, 084036 (2021)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.103.084036
Popis: We construct analytical initial data for a slowly moving and rotating black hole for generic orientations of the linear momentum and the spin. We solve the Hamiltonian constraint approximately and work out the properties of the apparent horizon and show the dependence of its shape on the angle between the spin and the linear momentum. In particular a dimple, whose location depends on the mentioned angle, arises on the 2-sphere geometry of the apparent horizon. We exclusively work in the case of conformally flat initial metrics.
Comment: 11 pages, 1 figure, v2 matches the published form
Databáze: arXiv