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Dirichlet walls -- timelike boundaries at finite distance from the bulk on which the induced metric is held fixed -- have been used to model AdS spacetimes with a finite cutoff. In the context of gauge/gravity duality, such models are often…

General Relativity and Quantum Cosmology · Physics 2015-11-18 Tomas Andrade , William R. Kelly , Donald Marolf , Jorge E. Santos

Usually when applying the mimetic model to the early universe, higher derivative terms are needed to promote the mimetic field to be dynamical. However such models suffer from the ghost and/or the gradient instabilities and simple…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Yunlong Zheng , Liuyuan Shen , Yicen Mou , Mingzhe Li

The fourth derivative models for two dimensional gravity are shown to be equivalent to the special version of the nonlinear sigma models coupled to 2d quantum gravity. The reduction consists in the introduction of the auxiliary scalar…

High Energy Physics - Theory · Physics 2016-09-06 I. L. Shapiro

We study the renormalizable quantum gravity formulated as a perturbed theory from conformal field theory (CFT) on the basis of conformal gravity in four dimensions. The conformal mode in the metric field is managed non-perturbatively…

High Energy Physics - Theory · Physics 2009-11-10 Ken-ji Hamada

In this work, we obtain a new warped solution for a 5-dimensional $f(R) $ gravity in an anti de-Sitter bulk. The higher curvature term in the gravity action is shown to modify the usual warped metric. The novel feature of this modification…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Shafaq Gulzar Elahi , Soumya Samrat Mandal , Soumitra SenGupta

A modified theory of gravity with the function $F(R) = R\exp(\alpha R)$ instead of Ricci scalar $R$ in the Einstein$-$Hilbert action is considered and analyzed. The action of the model is converted into Einstein$-$Hilbert action at small…

General Relativity and Quantum Cosmology · Physics 2013-09-30 S. I. Kruglov

In this work, we employ renormalization group methods to study the general behavior of field theories possessing anisotropic scaling in the spacetime variables. The Lorentz breaking symmetry that accompanies these models are either soft, if…

High Energy Physics - Theory · Physics 2012-04-24 Pedro R. S. Gomes , M. Gomes

We find stable singularity-free cosmological solutions in non-flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) spacetime in the context of Ho\v{r}ava-Lifshitz (HL) theory. Although we encounter the negative squared effective masses of…

General Relativity and Quantum Cosmology · Physics 2019-03-13 Mitsuhiro Fukushima , Yosuke Misonoh , Shoichiro Miyashita , Seiga Sato

We focus on non-linear realizations of local supersymmetry as obtained by using constrained superfields in supergravity. New constraints, beyond those of rigid supersymmetry, are obtained whenever curvature multiplets are affected as well…

High Energy Physics - Theory · Physics 2018-02-14 F. Farakos , S. Ferrara , A. Kehagias , D. Lust

A cosmologically viable hypergeometric model in the modified gravity theory $f(R)$ is found from the need for asintoticity towards $\Lambda$CDM, the existence of an inflection point in the $f(R)$ curve, and the conditions of viability given…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Roger Hurtado , Robel Arenas

We analyze the presumptions which lead to instabilities in theories of order higher than second. That type of fourth order gravity which leads to an inflationary (quasi de Sitter) period of cosmic evolution by inclusion of one curvature…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hans - Juergen Schmidt

In this paper we study perturbatively an extension of the Stelle higher derivative gravity involving an infinite number of derivative terms. We know that the usual quadratic action is renormalizable but suffers of the unitarity problem…

High Energy Physics - Theory · Physics 2015-05-28 Leonardo Modesto

General Relativity is expected to break down in the high-curvature regime. Beyond an effective field theory treatment with higher-order operators, it is important to identify consistent theories with higher-curvature terms at the…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Fabrizio Corelli , Paolo Pani , Andrea P. Sanna

In 3+1 space-time dimensions, fourth order derivative gravity is perturbatively renormalizable. Here it is shown that it describes a unitary theory of gravitons (with/without an additional scalar) in a limited coupling parameter space which…

High Energy Physics - Theory · Physics 2015-06-11 Gaurav Narain , Ramesh Anishetty

Hybrid metric-Palatini gravity unifies the metric and Palatini formalisms while preserving a propagating scalar degree of freedom, offering a compelling route to modified gravity consistent with current observations. Motivated by this…

General Relativity and Quantum Cosmology · Physics 2026-03-26 David S. Pereira , Salvatore Capozziello , Francisco S. N Lobo , José Pedro Mimoso

Conditions for the existence and stability of de Sitter space in modified gravity are derived by considering inhomogeneous perturbations in a gauge-invariant formalism. The stability condition coincides with the corresponding condition for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valerio Faraoni , Shahn Nadeau

Higher derivative couplings of hypermultiplets to $6D, N=(1,0)$ supergravity are obtained from dimensional reduction of 10D heterotic supergravity that includes order $\alpha'$ higher derivative corrections. Reduction on $T^4$ is followed…

High Energy Physics - Theory · Physics 2022-03-30 Hao-Yuan Chang , Ergin Sezgin , Yoshiaki Tanii

Fourth-derivative gravity has two free parameters, $\alpha$ and $\beta$, which couple the curvature-squared terms $R^2$ and $R_{\mu\nu}^2$. Relativistic effects and short-range laboratory experiments can be used to provide upper limits to…

General Relativity and Quantum Cosmology · Physics 2017-12-12 Breno L. Giacchini

In this manuscript, we have identified the dynamical instability constraints of a self-gravitating cylindrical object within the framework of $f(R,T)$ theory of gravity. We have explored the modified field equations and corresponding…

General Physics · Physics 2016-05-18 Z. Yousaf , M. Zaeem ul Haq Bhatti

We investigate perturbative aspects of gravity with a general F(R) Lagrangian, as well as nonperturbative dilatonic solutions. For the first part, we are interested in stability and the definition of asymptotic charges. The main result of…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , B. Carneiro da Cunha , R. Menezes , A. Yu. Petrov