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

Date

2021-04-21

Author

Altas, Emel
Tekin, Bayram

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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 two-sphere geometry of the apparent horizon. We exclusively work in the case of conformally flat initial metrics.

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85104777608&origin=inward
https://hdl.handle.net/11511/90842

Journal

Physical Review D

DOI

https://doi.org/10.1103/physrevd.103.084036

Collections

Department of Physics, Article

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Citation Formats

E. Altas and B. Tekin, “Approximate analytical description of apparent horizons for initial data with momentum and spin,” Physical Review D, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85104777608&origin=inward.