Redshift Factor and the First Law of Binary Black Hole Mechanics in Numerical Simulations
| Autor: | Aaron Zimmerman, Harald P. Pfeiffer, Adam G. M. Lewis |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Angular momentum 010308 nuclear & particles physics Event horizon FOS: Physical sciences General Physics and Astronomy Binary number General Relativity and Quantum Cosmology (gr-qc) Mechanics Invariant (physics) Surface gravity 01 natural sciences General Relativity and Quantum Cosmology Redshift Binary black hole 0103 physical sciences Circular orbit 010306 general physics |
| Zdroj: | Physical review letters. 117(19) |
| ISSN: | 1079-7114 |
| Popis: | The redshift factor $z$ is an invariant quantity of fundamental interest in post-Newtonian and self-force descriptions of compact binaries. It connects different approximation schemes, and plays a central role in the first law of binary black hole mechanics, which links local quantities to asymptotic measures of energy and angular momentum in these systems. Through this law, the redshift factor is conjectured to have a close relation to the surface gravity of the event horizons of black holes in circular orbits. We propose and implement a novel method for extracting the redshift factor on apparent horizons in numerical simulations of quasicircular binary inspirals. Our results confirm the conjectured relationship between $z$ and the surface gravity of the holes and that the first law holds to a remarkable degree for binary inspirals. The redshift factor enables tests of analytic predictions for $z$ in spacetimes where the binary is only approximately circular, giving a new connection between analytic approximations and numerical simulations. 7 pages, 4 figures. Updated to reflect published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|