2014
DOI: 10.1103/physrevd.90.044066
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Slowly rotating black holes in Einstein-Dilaton-Gauss-Bonnet gravity: Quadratic order in spin solutions

Abstract: We derive a stationary and axisymmetric black hole solution in Einstein-Dilaton-Gauss-Bonnet gravity to quadratic order in the ratio of the spin angular momentum to the black hole mass squared. This solution introduces new corrections to previously found nonspinning and linear-in-spin solutions. The location of the event horizon and the ergosphere are modified, as well as the quadrupole moment. The new solution is of Petrov type I, although lower order in spin solutions are of Petrov type D. There are no close… Show more

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Cited by 185 publications
(120 citation statements)
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“…Including spin in current approaches is challenging, especially because the geometry of spinning BHs beyond GR is known only perturbatively or numerically (see e.g. [49][50][51][52][53][54][55] for specific examples and [11,56,57] for reviews), which makes it very hard to compute the QNMs. In addition, there is in general no analog of the Teukolsky equation [6,58,59] beyond GR.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Including spin in current approaches is challenging, especially because the geometry of spinning BHs beyond GR is known only perturbatively or numerically (see e.g. [49][50][51][52][53][54][55] for specific examples and [11,56,57] for reviews), which makes it very hard to compute the QNMs. In addition, there is in general no analog of the Teukolsky equation [6,58,59] beyond GR.…”
Section: Introductionmentioning
confidence: 99%
“…These departures can be due to extra charges, a modified theory of gravity, environmental effects, etcetera, and we wish to develop a generic framework that can accommodate various special cases. GR corrections might affect the ringdown in two ways: by predicting a spinning BH other than Kerr [11,12,15,50,51,53,57,66], or (even if GR BHs are still solutions of the theory) by affecting the dynamics of the perturbations [40,[67][68][69][70][71]. In both cases, the ringdown modes will acquire corrections proportional to the fundamental coupling constant(s) of the theory.…”
Section: Introductionmentioning
confidence: 99%
“…Hairy solutions in sGB theories have been studied mainly in the case when the only other operators present are the Einstein-Hilbert and the standard kinetic term for the scalar, X [7][8][9][10][11][12][13]. In the language of the above Lagrangian, this case amounts to the choices G 2 = X, G 4 = Λ 6 /Λ 6 3 and G 5 = −4 Λ 9 Λ 8 2 M P α log(X), with the remaining functions set to zero.…”
Section: Shift-symmetric Scalar-tensor Theories and Hairy Black Hmentioning
confidence: 99%
“…1 As a prototypical example, we will consider below the case of a linear coupling between the scalar and the Gauss-Bonnet operator, whose presence is known to be sufficient to evade the no-hair restrictions [6]. In the literature, such shift-symmetric operator has been widely studied, both analytically and numerically, in the simplest setting in which the only other operator in the Lagrangian for the scalar is the canonical kinetic term [7][8][9][10][11][12][13].…”
Section: Introduction and Setupmentioning
confidence: 99%
“…All these studies are based on the assumption that the underlying gravity theory is general relativity. Nevertheless, there are also black holes in alternative gravity theories [21][22][23][24][25][26] based on different motivations. It is interesting to study the observational signature of a black hole (and hot spot) in these theories.…”
Section: Introductionmentioning
confidence: 99%