2016
DOI: 10.1088/1475-7516/2016/09/011
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Black holes in a cubic Galileon universe

Abstract: Abstract. We find and study the properties of black hole solutions for a subclass of Horndeski theory including the cubic Galileon term. The theory under study has shift symmetry but not reflection symmetry for the scalar field. The Galileon is assumed to have linear time dependence characterized by a velocity parameter. We give analytic 3-dimensional solutions that are akin to the BTZ solutions but with a non-trivial scalar field that modifies the effective cosmological constant. We then study the 4-dimension… Show more

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Cited by 62 publications
(106 citation statements)
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References 49 publications
(87 reference statements)
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“…where a, b and c are fixed by the field equations (4.2), (4.4) and (4.5) (we omit their exact expressions here in the interest of succinctness). We note that, as was found in [20], the g(r) component of the metric is finite at the origin, unlike in GR. It is possible that this is a generic feature of any cubic Horndeski model for which such black hole solutions exist.…”
Section: Analytical Approximations In the Small And Large R Limitssupporting
confidence: 70%
See 1 more Smart Citation
“…where a, b and c are fixed by the field equations (4.2), (4.4) and (4.5) (we omit their exact expressions here in the interest of succinctness). We note that, as was found in [20], the g(r) component of the metric is finite at the origin, unlike in GR. It is possible that this is a generic feature of any cubic Horndeski model for which such black hole solutions exist.…”
Section: Analytical Approximations In the Small And Large R Limitssupporting
confidence: 70%
“…Nevertheless, the problem of embedding black hole solutions in self-tuned universes has already been tackled. Such solutions have been obtained through approximate [19], numerical [20] or even exact methods [21][22][23][24]. Star solutions were also obtained numerically in similar contexts [25][26][27][28].…”
Section: Introductionmentioning
confidence: 99%
“…This explains why Ref. [52] could not find simple solutions for the theory with the simplest cubic Galileon, i.e., f 3 = 1. In this case f 3 = 1, conditions (31) imply q = X 1/2 c = 0, which is inconsistent with our hypothesis of a time-dependent scalar field (34).…”
Section: B Black Hole Solutionsmentioning
confidence: 99%
“…It is worthwhile to note that through the coordinate change, the potential A μ acquires an additional component, and the first class of rotating stealth configuration (27) A way for distinguishing these two classes of solutions is to remark that the t-component of the last stealth configuration diverges at the ergosphere. Hence, it may be reasonable to consider the first configuration as the physically sound one.…”
Section: Black Hole Rotating Stealth Solutionsmentioning
confidence: 99%
“…In the past few years, Horndeski/Galileon-like theories have been extensively studied in the context of black hole physics [14][15][16][17][18][19][20][21][22][23][24][25][26][27]. In addition, solutions describing neutron stars and other compact objects have come out, imposing several constraints on the validity of these kinds of models [28][29][30][31].…”
Section: Introductionmentioning
confidence: 99%