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We discuss the instabilities appearing in the cosmological model with a quasi de Sitter phase following from a fourth-order gravity theory. Both the classical equation as well as the quantization in form of a Wheeler - De Witt equation are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 U. Kasper , S. Kluske , M. Rainer , S. Reuter , H. -J. Schmidt

We present a class of generally covariant nonlocal gravity models which have a flat-space general relativistic (GR) limit and also possess a stable de Sitter (dS) or Anti-de Sitter (AdS) background with an arbitrary value of its…

High Energy Physics - Theory · Physics 2013-05-30 Andrei O. Barvinsky

The recently proposed chameleonic extension of bigravity theory, by including a scalar field dependence in the graviton potential, avoids several fine-tunings found to be necessary in usual massive bigravity. In particular it ensures that…

High Energy Physics - Theory · Physics 2018-02-07 Antonio De Felice , Shinji Mukohyama , Michele Oliosi , Yota Watanabe

The minimal theory of quasidilaton massive gravity with or without a Horndeski-type kinetic term for the quasidilaton field propagates only three physical modes: the two massive tensor polarizations and one scalar mode. This reduced number…

High Energy Physics - Theory · Physics 2019-03-06 Antonio De Felice , Shinji Mukohyama , Michele Oliosi

Within the context of modified gravity and dark energy scenarios of the accelerating universe, we study the stability of de Sitter space with respect to inhomogeneous perturbations using a gauge-independent formalism. In modified gravity…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valerio Faraoni

The effective field theory of dark energy and modified gravity is supposed to well describe, at low energies, the behaviour of the gravity modifications due to one extra scalar degree of freedom. The usual curvature perturbation is very…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

The theory of gravity with a quadratic contribution of scalar curvature is investigated using a dynamical systems approach. The simplest Friedmann--Robertson--Walker metric is employed to formulate the dynamics in both the Jordan frame and…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Orest Hrycyna

We study the stability of vacua with spontaneously broken supersymmetry in N=2 supergravity theories with only hypermultiplets. Focusing on the projection of the scalar mass matrix along the sGoldstino directions, we are able to derive a…

High Energy Physics - Theory · Physics 2009-02-18 Marta Gomez-Reino , Jan Louis , Claudio A. Scrucca

In this work, we derive an upper bound on energetic quantities, namely vacuum energy and free energy, for static solutions of Einstein-Scalar theory in four dimensional asymptotically locally Anti-de Sitter(AlAdS) spacetime with a…

High Energy Physics - Theory · Physics 2020-02-28 Krai Cheamsawat

A nonlocal gravity model, which does not assume the existence of a new dimensional parameter in the action and includes a function $f(\Box^{-1} R)$, with $\Box$ the d'Alembertian operator, is considered. The model is proven to have de…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-08 E. Elizalde , E. O. Pozdeeva , S. Yu. Vernov

We analyze the stability of the Von K\'arm\'an model for thin plates subject to pure Neumann conditions and to dead loads, with no restriction on their direction. We prove a stability alternative, which extends previous results by…

Analysis of PDEs · Mathematics 2025-07-21 Edoardo Giovanni Tolotti

We construct explicitly deformations of Einstein's theory of gravity that are consistent and phenomenologically viable since they respect, in particular, cosmological backgrounds. We show that these deformations have unique symmetries in…

High Energy Physics - Theory · Physics 2013-05-30 Felix Berkhahn , Dennis Dietrich , Stefan Hofmann , Florian Kühnel , Parvin Moyassari

We present a thorough stability analysis of modified gravity theories in the presence of matter fields. We use the Effective Field Theory framework for Dark Energy and Modified Gravity to retain a general approach for the gravity sector and…

General Relativity and Quantum Cosmology · Physics 2017-03-14 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

In this paper, we consider the bulk plus boundary phase space for three-dimensional gravity with negative cosmological constant for a particular choice of conformal boundary conditions: the conformal class of the induced metric at the…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Jeevan Chandra Namburi , Wolfgang Wieland

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches…

High Energy Physics - Theory · Physics 2009-10-31 Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

We develop in detail the holographic framework for an $\mathcal{N}=2$ pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in…

High Energy Physics - Theory · Physics 2021-02-23 L. Andrianopoli , B. L. Cerchiai , R. Matrecano , O. Miskovic , R. Noris , R. Olea , L. Ravera , M. Trigiante

We investigate Cauchy Slice Holography in de Sitter spacetime. By performing a $T^2$ deformation of a (bottom-up) dS/CFT model, we obtain a holographic theory living on flat Cauchy slices of de Sitter, for which time is an emergent…

High Energy Physics - Theory · Physics 2026-01-28 Goncalo Araujo-Regado , Ayngaran Thavanesan , Aron C. Wall

We construct concrete counterterms of the Balasubramanian-Kraus type for Einstein-scalar theories with designer gravity boundary conditions in AdS$_{4}$, so that the total action is finite on-shell and satisfy a well defined variational…

High Energy Physics - Theory · Physics 2016-04-20 Andres Anabalon , Dumitru Astefanesei , David Choque , Cristian Martinez

In the setting of asymptotically Anti-de Sitter spacetimes, we consider Klein-Gordon fields subject to Dirichlet boundary conditions, with mass satisfying the Breitenlohner-Freedman bound. We introduce a condition on the b-wave front set of…

Mathematical Physics · Physics 2017-09-20 Michał Wrochna

We introduce an $N=1$ supergravity model based on the gauged shift symmetry of a single chiral multiplet, which can be identified with the string dilaton or a compactification modulus. The model allows for a tunably small and positive value…

High Energy Physics - Phenomenology · Physics 2016-09-01 Rob Knoops