Distinguishing Fuzzballs from Black Holes through Their Multipolar Structure

Bianchi, Massimo; Consoli, Dario; Grillo, Alfredo; Morales, José F.; Pani, Paolo; Raposo, Guilherme

doi:10.1103/physrevlett.125.221601

Cited by 90 publications

(118 citation statements)

References 67 publications

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“…In this work we provide full details of the computation presented in ref. [53] and extend that analysis to other, more general, solutions. While our approach is general and applies to any multi-center microstate geometry, we shall focus mostly on three-center solutions.…”

Section: Jhep01(2021)003mentioning

confidence: 72%

“…In particular, notice that in this case M 2 and S 3 are always much bigger than unity, which seems a rather general property of this class of solutions [53]. D: κ = (κ 1 ,κ 2 λ,κ 3 λ,κ 4 λ) A representative example in this class is given by…”

Section: Jhep01(2021)003mentioning

confidence: 88%

“…• As argued in [53], the multipolar structure of a fuzzball is significantly richer than that of a Kerr BH. While the latter is equatorial and axial symmetric, a microstate geometry can generically break any symmetry.…”

Section: Introductionmentioning

confidence: 93%

“…We consider stationary asymptotically flat geometries in four dimensions. In an asymptotically Cartesian mass centered (ACMC) system, the metric of a stationary asymptotically flat object can be written as [53]…”

Section: Multipole Moments Of the Metricmentioning

confidence: 99%

“…The scope of this paper (a companion of a recent letter [53]) is to study one specific aspect of fuzzballs that can be used to distinguish microstates geometries from their classical BH counterpart. Namely, we shall study the multipolar structure, which inter alia affects the motion of test particles around a central object, the inspiral of a binary system, and therefore the electromagnetic signal from accreting dark compact objects [13] and the gravitational-wave signal emitted by coalescing binaries [54].…”

Section: Introductionmentioning

confidence: 99%

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The multipolar structure of fuzzballs

Bianchi

Consoli

Grillo

et al. 2021

J. High Energ. Phys.

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We extend and refine a general method to extract the multipole moments of arbitrary stationary spacetimes and apply it to the study of a large family of regular horizonless solutions to $$ \mathcal{N} $$ N = 2 four-dimensional supergravity coupled to four Abelian gauge fields. These microstate geometries can carry angular momentum and have a much richer multipolar structure than the Kerr black hole. In particular they break the axial and equatorial symmetry, giving rise to a large number of nontrivial multipole moments. After studying some analytical examples, we explore the four-dimensional parameter space of this family with a statistical analysis. We find that microstate mass and spin multipole moments are typically (but not always) larger that those of a Kerr black hole with the same mass and angular momentum. Furthermore, we find numerical evidence that some invariants associated with the (dimensionless) moments of these microstates grow monotonically with the microstate size and display a global minimum at the black-hole limit, obtained when all centers collide. Our analysis is relevant in the context of measurements of the multipole moments of dark compact objects with electromagnetic and gravitational-wave probes, and for observational tests to distinguish fuzzballs from classical black holes.

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Section: Jhep01(2021)003mentioning

confidence: 72%

Section: Jhep01(2021)003mentioning

confidence: 88%

Section: Introductionmentioning

confidence: 93%

Section: Multipole Moments Of the Metricmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The multipolar structure of fuzzballs

Bianchi

Consoli

Grillo

et al. 2021

J. High Energ. Phys.

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Evolutionary Algorithms for Multi‐Center Solutions

Rawash,

Turton

2023

Fortschritte der Physik

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Large classes of multi‐center supergravity solutions have been constructed in the study of supersymmetric black holes and their microstates. Many smooth multi‐center solutions have the same charges as supersymmetric black holes, with all centers deep inside a long black‐hole‐like throat. These configurations are constrained by regularity, absence of closed timelike curves, and charge quantization. Due to these constraints, constructing explicit solutions with several centers in generic arrangements, and with all parameters in physically relevant ranges, is a hard task. In this work, an optimization algorithm, based on evolutionary algorithms and Bayesian optimization is presented, that systematically constructs numerical solutions satisfying all constraints. Explicit examples of novel five‐center and seven‐center machine‐precision solutions are exhibited.

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