Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario

Cisterna, Adolfo; Erices, Cristián

doi:10.1103/physrevd.89.084038

Cited by 174 publications

(153 citation statements)

References 38 publications

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“…A different way to bifurcate no hair theorems is to involve scalar tensor interactions involving translational invariant Galileons such as the John term of Fab 4 which reads, G µ ν ∇ µ φ∇ ν φ where G µν is the 4 dimensional Einstein tensor. There when one considers additionally a linear time dependence of the scalar field [27] (see also [28][29][30][31][32][33][34], and [35][36][37][38][39][40][41]) it was shown that the time dependence yielded analytic GR like black holes with additionally well defined scalars on the black hole horizon. For a recent review on black holes and scalar fields see [42] and [43].…”

Section: Introductionmentioning

confidence: 99%

Lovelock Galileons and black holes

Charmousis

Tsoukalas

2015

Phys. Rev. D

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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 combined time and radial dependence of the galileon field permits its horizon regularity. Furthermore in order to investigate the effects of linear time dependence we find spherically symmetric solutions in 4 and 5 spacetime dimensions. They are shown to have singular horizons. Afar from the Schwarzschild radius and for weak higher dimensional couplings the solutions are perturbatively close to GR representing exteriors of GR like star solutions for scalar tensor theories.

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Section: Introductionmentioning

confidence: 99%

Lovelock Galileons and black holes

Charmousis

Tsoukalas

2015

Phys. Rev. D

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“…Other investigation of the model on black holes and neutron stars can be seen in, e.g. [104][105][106].…”

Section: Model With Negative-sign Nmdcmentioning

confidence: 99%

Non-minimal derivative coupling gravity in cosmology

Gumjudpai

Rangdee

2015

Gen Relativ Gravit

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We give a brief review of the non-minimal derivative coupling (NMDC) scalar field theory in which there is non-minimal coupling between the scalar field derivative term and the Einstein tensor. We assume that the expansion is of power-law type or super-acceleration type for small redshift. The Lagrangian includes the NMDC term, a free kinetic term, a cosmological constant term and a barotropic matter term. For a value of the coupling constant that is compatible with inflation, we use the combined WMAP9 (WMAP9+eCMB+BAO+ H0) dataset, the PLANCK+WP dataset, and the PLANCK T T, T E, EE+lowP+Lensing+ext datasets to find the value of the cosmological constant in the model. Modeling the expansion with power-law gives a negative cosmological constants while the phantom power-law (super-acceleration) expansion gives positive cosmological constant with large error bar. The value obtained is of the same order as in the ΛCDM model, since at late times the NMDC effect is tiny due to small curvature.

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“…We now show that no Schwarzschild (or indeed any asymptotically flat) self tuning solution exists for the 'John' fab four model. We stress that our statement only applies if we wish to eliminate the effect of the cosmological constant -if we relax this assumption then numerous solutions can be obtained [21][22][23][24][25][26][27][28][29][30][31][32] (but see also [33]). …”

Section: Self Tuning In Spherically Symmetric Spacetimesmentioning

confidence: 99%

Self tuning scalar fields in spherically symmetric spacetimes

Appleby

2015

J. Cosmol. Astropart. Phys.

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We search for self tuning solutions to the Einstein-scalar field equations for the simplest class of 'Fab-Four' models with constant potentials. We first review the conditions under which self tuning occurs in a cosmological spacetime, and by introducing a small modification to the original theoryintroducing the second and third Galileon terms -show how one can obtain de Sitter states where the expansion rate is independent of the vacuum energy. We then consider whether the same self tuning mechanism can persist in a spherically symmetric inhomogeneous spacetime. We show that there are no asymptotically flat solutions to the field equations in which the vacuum energy is screened, other than the trivial one (Minkowski space). We then consider the possibility of constructing Schwarzschild de Sitter spacetimes for the modified Fab Four plus Galileon theory. We argue that the only model that can successfully screen the vacuum energy in both an FLRW and Schwarzschild de Sitter spacetime is one containing 'John' ∼ G µ ν ∂µφ∂ ν φ and a canonical kinetic term ∼ ∂αφ∂ α φ. This behaviour was first observed in [1]. The screening mechanism, which requires redundancy of the scalar field equation in the 'vacuum', fails for the 'Paul' term in an inhomogeneous spacetime.

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Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario

Cited by 174 publications

References 38 publications

Lovelock Galileons and black holes

Lovelock Galileons and black holes

Non-minimal derivative coupling gravity in cosmology

Self tuning scalar fields in spherically symmetric spacetimes

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