Static and rotating solutions for vector-Galileon theories

Cisterna, Adolfo; Hassaı̈ne, Mokhtar; Oliva, Julio; Rinaldi, Massimiliano

doi:10.1103/physrevd.94.104039

Cited by 56 publications

(43 citation statements)

References 71 publications

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“…While we focused on the static and spherically symmetric configurations as a first step, we can extend the analysis to asymptotically non-flat BH solutions and rotating BH solutions, see Refs. [49,50,52] for such solutions in the specific models. In particular the existence of hairy Kerr BH solutions and stars with gravitational solitons was recently found for a complex Proca field [57,58], so it is of interest to study what happens in the presence of vector-field derivative couplings.…”

Section: Discussionmentioning

confidence: 99%

Black holes in vector-tensor theories

Heisenberg¹,

Kase

Minamitsuji

et al. 2017

J. Cosmol. Astropart. Phys.

105

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We study static and spherically symmetric black hole (BH) solutions in second-order generalized Proca theories with nonminimal vector field derivative couplings to the Ricci scalar, the Einstein tensor, and the double dual Riemann tensor. We find concrete Lagrangians which give rise to exact BH solutions by imposing two conditions of the two identical metric components and the constant norm of the vector field. These exact solutions are described by either Reissner-Nordström (RN), stealth Schwarzschild, or extremal RN solutions with a non-trivial longitudinal mode of the vector field. We then numerically construct BH solutions without imposing these conditions. For cubic and quartic Lagrangians with power-law couplings which encompass vector Galileons as the specific cases, we show the existence of BH solutions with the difference between two non-trivial metric components. The quintic-order power-law couplings do not give rise to non-trivial BH solutions regular throughout the horizon exterior. The sixth-order and intrinsic vector-mode couplings can lead to BH solutions with a secondary hair. For all the solutions, the vector field is regular at least at the future or past horizon. The deviation from General Relativity induced by the Proca hair can be potentially tested by future measurements of gravitational waves in the nonlinear regime of gravity.

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Section: Discussionmentioning

confidence: 99%

Black holes in vector-tensor theories

Heisenberg¹,

Kase

Minamitsuji

et al. 2017

J. Cosmol. Astropart. Phys.

105

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“…Most general vector-tensor theories with second-order equations of motion are dubbed generalized Proca (GP) theories [23][24][25]. The applications of GP theories to dark energy [26][27][28][29] and spherically symmetric objects [30][31][32][33][34][35] were extensively performed in the literature.…”

Section: Introductionmentioning

confidence: 99%

Cosmology in scalar-vector-tensor theories

2018

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We study the cosmology on the Friedmann-Lemaître-Robertson-Walker (FLRW) background in scalar-vector-tensor theories with a broken U (1) gauge symmetry. For parity-invariant interactions arising in scalar-vector-tensor theories with second-order equations of motion, we derive conditions for the absence of ghosts and Laplacian instabilities associated with tensor, vector, and scalar perturbations at linear order. This general result is applied to the computation of the primordial tensor power spectrum generated during inflation as well as to the speed of gravity relevant to the late-time cosmic acceleration. We also construct a concrete inflationary model in which a temporal vector component A0 contributes to the dynamics of cosmic acceleration besides a scalar field φ through their kinetic mixings. In this model, we show that all the stability conditions of perturbations can be consistently satisfied during inflation and subsequent reheating.

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“…Note that such stealth configuration but for a dyonic four-dimensional Reissner-Nordstrom black hole was known in the case of an Abelian gauge field coupled to a particular Horndeski term [26] or for a generalized Proca field theory [27]. Outside the stealth point, the discriminant associated to the zeros of the metric function F is given by…”

Section: Five-dimensional Ads Dyonic Black Holes and Particular Stealmentioning

confidence: 99%

Black holes with Lambert W function horizons

Bravo‐Gaete

Gómez

2019

Eur. Phys. J. C

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We consider Einstein gravity with a negative cosmological constant endowed with distinct matter sources. The different models analyzed here share the following two properties: (i) they admit static symmetric solutions with planar base manifold characterized by their mass and some additional Noetherian charges, and (ii) the contribution of these latter in the metric has a slower falloff to zero than the mass term, and this slowness is of logarithmic order. Under these hypothesis, it is shown that, for suitable bounds between the mass and the additional Noetherian charges, the solutions can represent black holes with two horizons whose locations are given in term of the real branches of the Lambert W functions. We present various examples of such black hole solutions with electric, dyonic or axionic charges with AdS and Lifshitz asymptotics. As an illustrative example, we construct a purely AdS magnetic black hole in five dimensions with a matter source given by three different Maxwell

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Static and rotating solutions for vector-Galileon theories

Cited by 56 publications

References 71 publications

Black holes in vector-tensor theories

Black holes in vector-tensor theories

Cosmology in scalar-vector-tensor theories

Black holes with Lambert W function horizons

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