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We give a novel definition of gravitational energy for an arbitrary theory of gravity including quadratic-curvature corrections to Einstein's equations. We focus on the theory in four dimensions, in the presence of a negative cosmological constant, and with asymptotically anti-de Sitter (AdS) bou...


Giribet, G.Miskovic, O.Olea, R.Rivera-Betancour, D.[Energy in higher-derivative gravity via topological regularization]Energy in higher-derivative gravity via topological regularization

In this paper we show how to translate into tensorial language the Chern-Weil theorem for the Lorentz symmetry, which equates the difference of the Euler densities of two manifolds to the exterior derivative of a transgression form. For doing so we need to introduce an auxiliary, hybrid manifold ...


Deruelle, N.Merino, N.Olea, R.[Chern-Weil theorem, Lovelock Lagrangians in critical dimensions, and boundary terms in gravity actions]Chern-Weil theorem, Lovelock Lagrangians in critical dimensions, and boundary terms in gravity actions

Criticality represents a specific point in the parameter space of a higher-derivative gravity theory, where the linearized field equations become degenerate. In 4D Critical Gravity, the Lagrangian contains a Weyl-squared term, which does not modify the asymptotic form of the curvature. The Weyl2 ...


Anastasiou, G.Olea, R.Rivera-Betancour, D.[Noether–Wald energy in Critical Gravity]Noether–Wald energy in Critical Gravity

Under certain conditions, at high altitude, the surface of snow develops spike-like structures known as penitentes. This is a rather counterintuitive phenomenon, which is a consequence of surface sublimation at a given point as a result of the incidence of light scattered by the surrounding regio...

We thank R. Rojas and R. Soto for interesting discussions. P.G. was financially supported by Facultad de Ciencias Exactas, UNAB, to attend SOCHIFI 2016 Meeting.


Guilleminot, P.Olea, R.[Spiky ice and penitente tilting]Spiky ice and penitente tilting

In this work, we compute the conserved quantities of a charged rotating black hole which appears as the solution of Einstein-Maxwell action in five dimensions coupled to a Chern-Simons term for U(1) field. The addition of the Chern-Simons term will modify the Maxwell equations and the definition ...

We thank Giorgos Anastasiou and David Rivera-Betancour for insightful discussions. This work was funded in part by FONDECYT Grant 1131075, UNAB Grant DI-1336-16/RG and CONICYT Grant DPI 20140115.


Diaz-Martinez, F.Olea, R.[Conserved quantities for a charged rotating black holes in 5D Einstein-Maxwell-Chern-Simons theory]Conserved quantities for a charged rotating black holes in 5D Einstein-Maxwell-Chern-Simons theory

We compute the holographic stress tensor and the logarithmic energy-momentum tensor of Einstein-Weyl gravity at the critical point. This computation is carried out performing a holographic expansion in a bulk action supplemented by the Gauss-Bonnet term with a fixed coupling. The renormalization ...


Anastasiou, G.Olea, R.[Holographic correlation functions in Critical Gravity]Holographic correlation functions in Critical Gravity

It is shown that the notion of Conformal Mass can be defined within a given anti-de Sitter (AdS) branch of a Lovelock gravity theory as long as the corresponding vacuum is not degenerate. Indeed, conserved charges obtained by the addition of Kounterterms to the bulk action turn out to be proporti...


Arenas-Henriquez, G.Miskovic, O.Olea, R.[Vacuum degeneracy and Conformal Mass in Lovelock AdS gravity]Vacuum degeneracy and Conformal Mass in Lovelock AdS gravity

Critical Gravity theory is defined by a particular combination of quadratic couplings in the curvature added on top of 4D Einstein-Hilbert action with negative cosmological constant. As the Lagrangian is given by a Weyl-squared term, the asymptotic form of the curvature is not modified. The coupl...

We thank G. Anastasiou, F. Díaz-Martínez and O. Miskovic for helpful discussions. This work was funded in part by FONDECYT Grant 1131075, CONICYT Grant DPI 2014-0115 and UNAB Grants DI-1336-16/RG. D.R.B was financially supported by Facultad de Ciencias Exactas, UNAB, to attend SOCHIFI 2016 Meeting.


Rivera-Betancour, D.Olea, R.[Noether-Wald Charges in Critical Gravity]Noether-Wald Charges in Critical Gravity

In the context of the anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, 4D AdS gravity is suitably renormalized by adding the Gauss Bonnet term to the Einstein-Hilbert action. The subsequent addition of the Pontryagin term, with a specific coupling, allows to write the on-shell acti...

This work was funded in part by FONDECYT Grants No. 1131075, 1140296 and 1151107, CONICYT Grant DPI 2014-0115, UNAB Grants DI-735-15/R and DI-1336-16/RG and VRIEA-PUCV Grant 039.345/2016. R.Araneda received financial support from Facultad de Física, Pontificia Universidad Católica de Chile to par...


Araneda, R.Aros, R.Miskovic, O.Olea, R.[Pontryagin Term and Magnetic Mass in 4D AdS Gravity]Pontryagin Term and Magnetic Mass in 4D AdS Gravity

We exhibit the equivalence between the renormalized volume of asymptotically anti-de Sitter (AAdS) Einstein manifolds in four and six dimensions, and their renormalized Euclidean bulk gravity actions. The action is that of Einstein gravity, where the renormalization is achieved through the additi...


Anastasiou, G.Araya, I.J.Arias, C.Olea, R.[Einstein-AdS action, renormalized volume/area and holographic Rényi entropies]Einstein-AdS action, renormalized volume/area and holographic Rényi entropies

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