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We study multidimensional gravitational models with scalar curvature nonlinearity of the type 1/R and with form-fields (fluxes) as a matter source. It is assumed that the higher dimensional space-time undergoes Freund-Rubin-like spontaneous…

High Energy Physics - Theory · Physics 2008-11-26 Tamerlan Saidov , Alexander Zhuk

In this work we would like to address the problem of the effect of bulk matter on the brane cosmological evolution in a general way. We assume that the spatial part of the brane metric is not maximally symmetric, therefore spatially…

General Relativity and Quantum Cosmology · Physics 2023-03-17 Pantelis S. Apostolopoulos

"Brane Induced Gravity" is regarded as a promising framework for addressing the cosmological constant problem, but it also suffers from a ghost instability for parameter values that make it phenomenologically viable. We carry out a detailed…

High Energy Physics - Theory · Physics 2011-05-27 S. F. Hassan , Stefan Hofmann , Mikael von Strauss

Introducing a fundamental constant of nature with dimensions of acceleration into the theory of gravity makes it possible to extend gravity in a very consistent manner. At the non-relativistic level a MOND-like theory with a modification in…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 D. A. Carranza , S. Mendoza , L. A. Torres

We consider a DGP inspired brane scenario where the action on the brane is augmented by a function of the Ricci scalar, ${\cal L}(R)$. The cosmological implications that such a scenario entails are examined for $R^{n}$ and shown to be…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Atazadeh , H. R. Sepangi

We present the four-dimensional equations on a brane with a scalar field non-minimally coupled to the induced Ricci curvature, embedded in a five-dimensional bulk with a cosmological constant. This is a natural extension to a brane-world…

High Energy Physics - Theory · Physics 2009-11-10 Mariam Bouhmadi-Lopez , David Wands

We present exact FLRW solutions in generalized massive gravity where the mass parameters are naturally promoted to Lorentz-invariant functions of the Stuckelberg fields. This new dependence relaxes the constraint that would otherwise…

High Energy Physics - Theory · Physics 2015-06-23 Claudia de Rham , Matteo Fasiello , Andrew J. Tolley

We find broad classes of solutions to the field equations for d-dimensional gravity coupled to an antisymmetric tensor of arbitrary rank and a scalar field with non-vanishing potential. Our construction generates these configurations from…

High Energy Physics - Theory · Physics 2009-11-10 C. P. Burgess , C. Nunez , F. Quevedo , G. Tasinato , I. Zavala

Based on the idea that the components of a cosmological metric may be determined by the total gravitational potential of the universe, the scalar field $\phi=1/G$ in the Jordan-Brans-Dicke (JBD) theory is introduced as evolving with the…

General Relativity and Quantum Cosmology · Physics 2023-05-18 Onder Dunya , Metin Arik

In this paper we consider a generalization of zwei-dreibein gravity with a chern-Simons term associated to a constraint term which fixed the torsion. We count the local degrees of freedom of this model using Hamiltonian analysis and show…

High Energy Physics - Theory · Physics 2015-09-30 M. R. Setare , H. Adami

The metric of a Schwarzschild solution in brane induced gravity in five dimensions is studied. We find a nonperturbative solution for which an exact expression on the brane is obtained. We also find a linearized solution in the bulk and…

High Energy Physics - Theory · Physics 2007-05-23 Gregory Gabadadze , Alberto Iglesias

We expand the study of generalized brane cosmologies by allowing for an $f(\tilde{\cal R})$ gravity term on the brane, with $\tilde{\cal R}$ the curvature scalar derived from the induced metric. We also include arbitrary matter components…

High Energy Physics - Theory · Physics 2010-10-22 Pantelis S. Apostolopoulos , Nikolaos Brouzakis , Nikolaos Tetradis

We study a 5-dimensional $f({\cal R})$ brane gravity within the framework of scalar-tensor type theories. We show that such a model predicts, for a certain choice of $f({\cal R})$ and a spatially flat universe, an exponential potential,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Atazadeh , M. Farhoudi , H. R. Sepangi

Matrix models of Yang-Mills type induce an effective gravity theory on 4-dimensional branes, which are considered as models for dynamical space-time. We review recent progress in the understanding of this emergent gravity. The metric is not…

High Energy Physics - Theory · Physics 2009-07-24 Harold Steinacker

The generalized $f(R)$ gravity with curvature-matter coupling in five-dimensional (5D) spacetime can be established by assuming a hypersurface-orthogonal spacelike Killing vector field of 5D spacetime, and it can be reduced to the 4D…

General Relativity and Quantum Cosmology · Physics 2014-04-22 Ya-Bo Wu , Yue-Yue Zhao , Jun-Wang Lu , Xue Zhang , Cheng-Yuan Zhang , Jia-Wei Qiao

We study the role of the brane-induced graviton kinetic term in theories with large extra dimensions. In five dimensions we construct a model with a TeV-scale fundamental Planck mass and a {\it flat} extra dimension the size of which can be…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gia Dvali , Gregory Gabadadze , Marko Kolanovic , Francesco Nitti

In the standard brane world models, the bulk metric ansatz is usually assumed to be factorizable in brane and bulk coordinates. However, it is not self-evident that it is always possible to factorize the bulk metric. Using the gradient…

General Relativity and Quantum Cosmology · Physics 2015-08-04 Sumanta Chakraborty , Soumitra SenGupta

In this work, we introduce a class of extended Minimal Theories of Massive Gravity (eMTMG), without requiring a priori that the theory should admit the same homogeneous and isotropic cosmological solutions as the de Rham-Gabadadze-Tolley…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Antonio De Felice , Shinji Mukohyama , Masroor C. Pookkillath

We study cosmologies in modified theories of gravity considering Lagrangian density $f(R)$ which is a polynomial function of scalar curvature ($R$) in the Einstein-Hilbert action in vacuum. The field equation obtained from the modified…

Cosmology and Nongalactic Astrophysics · Physics 2009-10-29 B. C. Paul , P. S. Debnath , S. Ghose

Massive gravity in three dimensions accepts several different formulations. Recently, the 3-dimensional bigravity dRGT model in first order form, Zwei-Dreibein gravity, was considered by Bergshoeff {\it et al.} and it was argued that the…

High Energy Physics - Theory · Physics 2013-12-16 Máximo Bañados , Cedric Deffayet , Miguel Pino