2015
DOI: 10.1103/physrevd.92.104050
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Lovelock Galileons and black holes

Abstract: We study a scalar-tensor version of Lovelock theory with a non trivial higher order galileon term involving the coupling of the Lovelock two tensor with derivatives of the scalar galileon field. For a static and spherically symmetric spacetime we extend the Boulware-Deser solution to the presence of a Galileon field. The hairy solution has a regular scalar field on the black hole event horizon and presents certain self tuning properties for the bulk cosmological constant and the Gauss-Bonnet coupling. The comb… Show more

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Cited by 28 publications
(33 citation statements)
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“…Consequently, there have been several approaches to modify the structure of the gravitational action. Among the various proposals the most prominent ones include, e.g., f (R) gravity [28][29][30][31][32][33], Lovelock theories [34][35][36][37][38][39][40], scalar-tensor theories/Horndeski models [41][42][43][44][45][46][47][48][49][50] and theories with extra spatial dimensions [51][52][53][54][55][56][57][58][59][60][61][62] (see also [63]).…”
Section: Introductionmentioning
confidence: 99%
“…Consequently, there have been several approaches to modify the structure of the gravitational action. Among the various proposals the most prominent ones include, e.g., f (R) gravity [28][29][30][31][32][33], Lovelock theories [34][35][36][37][38][39][40], scalar-tensor theories/Horndeski models [41][42][43][44][45][46][47][48][49][50] and theories with extra spatial dimensions [51][52][53][54][55][56][57][58][59][60][61][62] (see also [63]).…”
Section: Introductionmentioning
confidence: 99%
“…Among the various alternative theories there exist broadly three classifications: (a) The gravitational Lagrangian is modified by introduction of higher curvature terms, e.g., Lanczos-Lovelock gravity, f (R) gravity etc. The Lanczos-Lovelock theory is inherently ghost free, leading to second order field equations, while f (R) gravity models have ghost modes unless some specific conditions are being satisfied (see e.g., [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]); (b) Modified gravitational dynamics due to existence of extra dimensions, e.g., bulk Weyl tensor contributes additional terms to the effective lower dimensional gravitational field equations [26][27][28][29][30][31][32][33][34][35][36][37] and, finally (c) Scalar-tensor theories of gravity, which was first introduced as the Brans-Dicke theory and emerged in recent times in a more general context as Horndeski theories [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52]…”
Section: Introductionmentioning
confidence: 99%
“…In the rest of the paper, we call such a theory the Lovelock-Galileon theory. It turns out that the field equations both for the metric and the scalar field are of second order [16].…”
Section: Introductionmentioning
confidence: 99%