Black hole fusion in the extreme mass ratio limit

Montero, Marina Martínez; Zilhão, Miguel

doi:10.1103/physrevd.97.044004

Cited by 23 publications

(35 citation statements)

References 25 publications

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“…Speaking in a paradoxical manner purposely, rather wandering null geodesics might determine the definite mathematical concept for the topology of the event horizon, e.g. the binary of black holes [35,44,[49][50][51][52].…”

Section: Discussion: Binary Black Holementioning

confidence: 99%

Black hole shadow and Wandering null geodesics

Siino

2021

Preprint

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The role of the wandering null geodesic is studied in a black hole spacetime. Based on the continuity of the solution of the geodesic equation, the wandering null geodesics commonly exist and explain the typical phenomena of the optical observation of event horizons. Moreover, a new concept of 'black room' is investigated to relate the wandering null geodesic to the black hole shadow more closely.

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Section: Discussion: Binary Black Holementioning

confidence: 99%

Black hole shadow and Wandering null geodesics

Siino

2021

Preprint

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“…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%

Geometric horizons in the Kastor-Traschen multi-black-hole solutions

McNutt

Coley

2018

Phys. Rev. D

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We investigate the existence of invariantly defined quasi-local hypersurfaces in the Kastor-Traschen solution containing N charge-equal-tomass black holes. These hypersurfaces are characterized by the vanishing of particular curvature invariants, known as Cartan invariants, which are generated using the frame approach. The Cartan invariants of interest describe the expansion of the outgoing and ingoing null vectors belonging to the invariant null frame arising from the Cartan-Karlhede algorithm. We show that the evolution of the hypersurfaces surrounding the black holes depends on an upper-bound on the total mass for the case of two and three equal mass black holes. We discuss the results in the context of the geometric horizon conjectures.

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“…Therefore, the problem of finding the merger solution is recast as that of solving the Ricci flow from a given asymptotic geometry at λ = −∞. 6 In the Ricci flow literature, this is called the ancient solution problem, where the ancient solution is the Ricci flow solution defined back to λ = −∞.…”

Section: Merging Horizons As Ricci Flowsmentioning

confidence: 99%

“…The vacuum Einstein equations for the metric (3.4) decompose into the evolution equation 6) and the constraint equations…”

Section: Derivationmentioning

confidence: 99%

Topology-changing horizons at large D as Ricci flows

Suzuki

2019

J. High Energ. Phys.

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The topology-changing transition between black strings and black holes localized in a Kaluza-Klein circle is investigated in an expansion in the inverse of the number of dimensions D. Performing a new kind of large-D scaling reduces the problem to a Ricci flow of the near-horizon geometry as it varies along the circle direction. The flows of interest here simplify to a non-linear logarithmic diffusion equation, with solutions known in the literature which are interpreted as the smoothed conifold geometries involved in the transition, namely, split and fused cones, which connect to black holes and non-uniform black strings away from the conical region. Our study demonstrates the adaptability of the 1/D expansion to deal with all the regimes and aspects of the static black hole/black string system, and provides another instance of the manner in which the large D limit reduces the task of solving Einstein's equations to a simpler but compelling mathematical problem. arXiv:1905.01062v3 [hep-th] 22 Jul 20191 See [1, 2] for early reviews, and the book monograph [3] for a more up to date view. 2 The evolution of black strings to black holes in solution space seems to be unrelated to the dynamical evolution of black strings towards (and across) a naked singularity. Although the change in topology is expected to be the same in both cases, the dynamical evolution appears to be at all moments strongly time-dependent, and occurs far from the static configurations around the transition in solution space. The singularities also appear to be very different in the two cases.3 Again, these black hole mergers in solution space are rather different than the dynamical mergers of event horizons. The latter admit simple local models studied in [6] and do not involve naked singularities. The evolution in solution space is adiabatic, while the dynamical merger is irreversible.

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Black hole fusion in the extreme mass ratio limit

Cited by 23 publications

References 25 publications

Black hole shadow and Wandering null geodesics

Black hole shadow and Wandering null geodesics

Geometric horizons in the Kastor-Traschen multi-black-hole solutions

Topology-changing horizons at large D as Ricci flows

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