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C. Charmousis, M. Crisostomi, R. Gregory, and N. Stergioulas, “Rotating Black Holes in Higher Order Gravity,” Physical Review D
Original
1903
Earlier work this paper cites.
K. Takahashi, H. Motohashi, and M. Minamitsuji, “Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations,” Physical Review D
Original
1904
Earlier work this paper cites.
C. de Rham and J. Zhang, “Perturbations of Stealth Black Holes in DHOST Theories,” Physical Review D
Original
1907
Earlier work this paper cites.
C. Charmousis, M. Crisostomi, D. Langlois, and K. Noui, “Perturbations of a rotating black hole in DHOST theories,” 1907.02924
Original
1907
Earlier work this paper cites.
F.-L. Julié and E. Berti, “Post-Newtonian dynamics and black hole thermodynamics in Einstein-scalar-Gauss-Bonnet gravity,” Physical Review D
Original
1909
Earlier work this paper cites.
G. W. Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int.J.Theor.Phys
1974
Earlier work this paper cites.
A. M. Krall and A. Zettl, “Singular selfadjoint Sturm-Liouville problems,” Differential and Integral Equations
1988
Earlier work this paper cites.
S. Mignemi and N. R. Stewart, “Charged black holes in effective string theory,” Physical Review D
1993
Earlier work this paper cites.
T. Torii, H. Yajima, and K.-i. Maeda, “Dilatonic Black Holes with Gauss-Bonnet Term,” Physical Review D
1997
Earlier work this paper cites.
H. Lu and Y. Pang, “Horndeski Gravity as d → 4 d\rightarrow 4 Limit of Gauss-Bonnet,” Physics Letters B
Original
2003
Earlier work this paper cites.
R. A. Hennigar, D. Kubiznak, R. B. Mann, and C. Pollack, “On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions,” Journal of High Energy Physics
Original
2004
Earlier work this paper cites.
J. Khoury, M. Trodden, and S. S. C. Wong, “Existence and instability of novel hairy black holes in shift-symmetric horndeski theories,” 2007.01320
Original
2007
Earlier work this paper cites.
N. Yunes and L. C. Stein, “Non-Spinning Black Holes in Alternative Theories of Gravity,” Physical Review D
Original
2011
Earlier work this paper cites.
P. Pani, C. F. B. Macedo, L. C. B. Crispino, and V. Cardoso, “Slowly rotating black holes in alternative theories of gravity,” Physical Review D
Original
2011
Earlier work this paper cites.

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PhD thesis, University of Trento, June, 2019

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2022

Linear perturbations of Einstein-Gauss-Bonnet black holes

Langlois, David, Noui, Karim, Roussille, Hugo

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We study linear perturbations about non rotating black hole solutions in scalar-tensor theories, more specifically Horndeski theories.

We consider two particular theories that admit known hairy black hole solutions.
The first one, Einstein-scalar-Gauss-Bonnet theory, contains a Gauss-Bonnet term coupled to a scalar field, and its black hole solution is given as a perturbative expansion in a small parameter that measures the deviation from general relativity.
The second one, known as 4-dimensional-Einstein-Gauss-Bonnet theory, can be seen as a compactification of higher-dimensional Lovelock theories and admits an exact black hole solution.