Anabalon, A., Cisterna, A., & Oliva, J. (2014). Asymptotically locally AdS and flat black holes in Horndeski theory. Phys. Rev. D, 89(8), 9 pp.
Abstract: In this paper we construct asymptotically locally AdS and flat black holes in the presence of a scalar field whose kinetic term is constructed out from a linear combination of the metric and the Einstein tensor. The field equations as well as the energymomentum tensor are second order in the metric and the field, therefore the theory belongs to the ones defined by Horndeski. We show that in the presence of a cosmological term in the action, it is possible to have a real scalar field in the region outside the event horizon. The solutions are characterized by a single integration constant, the scalar field vanishes at the horizon and it contributes to the effective cosmological constant at infinity. We extend these results to the topological case. The solution is disconnected from the maximally symmetric AdS background, however, within this family there exists a gravitational soliton which is everywhere regular. This soliton is therefore used as a background to define a finite Euclidean action and to obtain the thermodynamics of the black holes. For a certain region in the space of parameters, the thermodynamic analysis reveals a critical temperature at which a HawkingPage phase transition between the black hole and the soliton occurs. We extend the solution to arbitrary dimensions greater than 4 and show that the presence of a cosmological term in the action allows one to consider the case in which the standard kinetic term for the scalar it is not present. In such a scenario, the solution reduces to an asymptotically flat black hole.

Anabalon, A., Deruelle, N., & Julie, F. L. (2016). EinsteinKatz action,variational principle, Noether charges and the thermodynamics of AdSblack holes. J. High Energy Phys., (8), 15 pp.
Abstract: In this paper we describe 4dimensional gravity coupled to scalar and Maxwell fields by the EinsteinKatz action, that is, the covariant version of the “GammaGamma – GammaGamma” part of the Hilbert action supplemented by the divergence of a generalized “Katz vector”. We consider static solutions of Einstein's equations, parametrized by some integration constants, which describe an ensemble of asymptotically AdS black holes. Instead of the usual Dirichlet boundary conditions, which aim at singling out a specific solution within the ensemble, we impose that the variation of the action vanishes on shell for the broadest possible class of solutions. We will see that, when a longrange scalar “hair” is present, only subfamilies of the solutions can obey that criterion. The KatzBicakLyndenBell (“KBL”) superpotential built on this (generalized) vector will then give straightforwardly the Noether charges associated with the spacetime symmetries (that is, in the static case, the mass). Computing the action on shell, we will see next that the solutions which obey the imposed variational principle, and with Noether charges given by the KBL superpotential, satisfy the Gibbs relation, the Katz vectors playing the role of “counterterms”. Finally, we show on the specific example of dyonic black holes that the subclass selected by our variational principle satisfies the first law of thermodynamics when their mass is de fined by the KBL superpotential.

Anabalon, A., Deruelle, N., Tempo, D., & Troncoso, R. (2011). Remarks On The MyersPerry And EinsteinGaussBonnet Rotating Solutions. Int. J. Mod. Phys. D, 20(5), 639–647.
Abstract: The Kerrtype solutions of the fivedimensional Einstein and EinsteinGaussBonnet equations look pretty similar when written in KerrSchild form. However the MyersPerry spacetime is circular whereas the rotating solution of the EinsteinGaussBonnet theory is not. We explore some consequences of this difference in particular regarding the (non) existence of BoyerLindquisttype coordinates and the extension of the manifold.

Anabalon, A., Ortiz, T., & Samtleben, H. (2013). Rotating D0branes and consistent truncations of supergravity. Phys. Lett. B, 727(45), 516–523.
Abstract: The fluctuations around the D0brane nearhorizon geometry are described by twodimensional S0(9) gauged maximal supergravity. We work out the U(1)(4) truncation of this theory whose scalar sector consists of five dilaton and four axion fields. We construct the full nonlinear KaluzaKlein ansatz for the embedding of the dilaton sector into type IIA supergravity. This yields a consistent truncation around a geometry which is the warped product of a twodimensional domain wall and the sphere S8. As an application, we consider the solutions corresponding to rotating D0branes which in the nearhorizon limit approach AdS(2) x M8 geometries, and discuss their thermodynamical properties. More generally, we study the appearance of such solutions in the presence of nonvanishing axion fields. (C) 2013 Elsevier B.V. All rights reserved.
