Examinando por Autor "Aros, R"
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Ítem Analysing charges in even dimensions(IOP Publishing, 2001-12-21) Aros, RLanczos-Lovelock theories of gravity, in its first-order version, are studied on asymptotically locally anti-de Sitter spaces. It is shown that thermodynamics satisfies the standard behaviour and an expression for entropy is found for this formalism. Finally, a short analysis of the algebra of conserved charges is presented.Ítem Conformal gravity from the AdS/CFT mechanism(American Physical Society, 2007-03-01) Aros, R; Romo, M; Zamorano, NWe explicitly calculate the induced gravity theory at the boundary of an asymptotically anti-de Sitter five dimensional Einstein gravity. We also display the action that encodes the dynamics of radial diffeomorphisms. It is found that the induced theory is a four dimensional conformal gravity plus a scalar field. This calculation confirms some previous results found by a different approach.Ítem Conserved Charges for Gravity with Locally Anti–de Sitter Asymptotics(American Physical Society, 2000-02) Aros, R; Contreras, M.; Olea, R.; Troncoso, R.; Zanelli, J.A new formula for the conserved charges in 3+1 gravity for spacetimes with local anti-de Sitter asymptotic geometry is proposed. It is shown that requiring the action to have an extremum for this class of asymptotia sets the boundary term that must be added to the Lagrangian as the Euler density with a fixed weight factor. The resulting action gives rise to the mass and angular momentum as Noether charges associated to the asymptotic Killing vectors without requiring specification of a reference background in order to have a convergent expression. A consequence of this definition is that any negative constant curvature spacetime has vanishing Noether charges. These results remain valid in the Λ = 0 limit.Ítem One-loop divergences in 7D Einstein and 6D conformal gravities(Springer, 2020-04) Aros, R; Bugini, F; Díaz, D.EThe aim of this note is to unveil a striking equivalence between the one-loop divergences in 7D Einstein and 6D Conformal Gravities. The particular combination of 6D pointwise Weyl invariants of the 6D Conformal Gravity corresponds to that of Branson’s Q-curvature and can be written solely in terms of the Ricci tensor and its covariant derivatives. The quadratic metric fluctuations of this action, 6D Weyl graviton, are endowed with a sixth-order kinetic operator that happens to factorize on a 6D Einstein background into product of three shifted Lichnerowicz Laplacians. We exploit this feature to use standard heat kernel techniques and work out in one go the UV logarithmic divergences of the theory that contains in this case the four Weyl anomaly coefficients. In a seemingly unrelated computation, we determine the one-loop IR logarithmic divergences of 7D Einstein Gravity in a particular 7D Poincaré-Einstein background that is asymptotically hyperbolic and has the above 6D Einstein manifold at its conformal infinity or boundary. We show the full equivalence of both computations, as an outgrowth of the IR/UV connection in AdS/CFT correspondence, and in this way the time-honoured one-loop calculations in Einstein and higher-derivative gravities take an interesting new turn. © 2020, The Author(s).Ítem Path integral measure for first-order and metric gravities(IOP Publishing, 2003-07-07) Aros, R; Contreras, M; Zanelli, JThe equivalence between the path integrals for first-order gravity and the standard torsion-free, metric gravity in 3 + 1 dimensions is analysed. Starting with the path integral for first-order gravity, the correct measure for the path integral of the metric theory is obtained.Ítem ℵ=1 supergravity Noether charges -: art. no. 127701(AMER PHYSICAL SOC, 2005-06-01) Aros, RIn this work a generic set of boundary conditions for N = 1 supergravity is proposed. These conditions define that Hamiltonian charges equal Noether ones, including supercharge.