2016
DOI: 10.1088/0264-9381/33/15/155003
|View full text |Cite
|
Sign up to set email alerts
|

Exact event horizon of a black hole merger

Abstract: We argue that the event horizon of a binary black hole merger, in the extreme-mass-ratio limit where one of the black holes is much smaller than the other, can be described in an exact analytic way. This is done by tracing in the Schwarzschild geometry a congruence of null geodesics that approaches a null plane at infinity. Its form can be given explicitly in terms of elliptic functions, and we use it to analyze and illustrate the time-evolution of the horizon along the merger. We identify features such as the… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

4
61
0

Year Published

2016
2016
2023
2023

Publication Types

Select...
9
1

Relationship

2
8

Authors

Journals

citations
Cited by 26 publications
(65 citation statements)
references
References 19 publications
4
61
0
Order By: Relevance
“…These issues will also be explored for other dynamical spacetimes such as, for example, the quasi-spherical Szekeres solutions [45], the extreme-mass ratio limit of a binary black hole merger [46,47,48] and dynamical solutions conformally related to static multi-black hole solutions, such as the Majumdar-Papapetrou (MP) solutions [49,50,51]. In order to investigate the GH conjectures for numerical solutions with analytic initial data [52], or numerical black hole solutions, we must either consider an implementation of a covariant frame formalism for numerical relativity [53] or investigate the possibility that the curvature invariants dictating the expansion of the outgoing and ingoing null vectors can be expressed in terms of SPIs.…”
Section: Summary and Discussionmentioning
confidence: 99%
“…These issues will also be explored for other dynamical spacetimes such as, for example, the quasi-spherical Szekeres solutions [45], the extreme-mass ratio limit of a binary black hole merger [46,47,48] and dynamical solutions conformally related to static multi-black hole solutions, such as the Majumdar-Papapetrou (MP) solutions [49,50,51]. In order to investigate the GH conjectures for numerical solutions with analytic initial data [52], or numerical black hole solutions, we must either consider an implementation of a covariant frame formalism for numerical relativity [53] or investigate the possibility that the curvature invariants dictating the expansion of the outgoing and ingoing null vectors can be expressed in terms of SPIs.…”
Section: Summary and Discussionmentioning
confidence: 99%
“…The real question however is whether one can obtain a wormhole metric as a result of an astrophysical merger process. There are some simplistic models of mergers which are analytic in nature [80]. These could be viable starting points for understanding whether a wormhole could be created at all in a merger.…”
Section: Discussionmentioning
confidence: 99%
“…In particular, the energy conditions required by the area theorems might not be satisfied by all of the matter in the system. Indeed, we have already recalled that is the case for the Hawking radiation, which one expects appears 4 Note that some analytical solutions are known in the case of a large mass asymmetry between the two merging black holes [10,11].…”
Section: Merging and Apparent Horizonsmentioning
confidence: 93%