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We find a connection between relativistic Modified Newtonian Dynamics (MOND) theories and (scalar) mimetic gravity. We first demonstrate that any relativistic MOND model featuring a unit-timelike vector field, such as TeVeS or…

General Relativity and Quantum Cosmology · Physics 2025-03-17 Guillem Domènech , Alexander Ganz

We study the cosmology on the Friedmann-Lemaitre-Robertson-Walker background in scalar-vector-tensor theories with a broken $U(1)$ gauge symmetry. For parity-invariant interactions arising in scalar-vector-tensor theories with second-order…

General Relativity and Quantum Cosmology · Physics 2018-07-27 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

We perform detailed investigation of cosmological perturbations in f(T) theory of gravity coupled with scalar field. Our work emphasizes on the way to gauge fix the theory and we examine all possible modes of perturbations up to second…

General Relativity and Quantum Cosmology · Physics 2013-06-24 Keisuke Izumi , Yen Chin Ong

We first review the nonrelativistic lagrangian theory as a framework for the MOND equation. Obstructions to a relativistic version of it are discussed leading up to TeVeS, a relativistic tensor-vector-scalar field theory which displays both…

Astrophysics · Physics 2009-11-11 Jacob D. Bekenstein , Robert H. Sanders

In this note we show that vector perturbations exhibit growing mode solutions in a contracting Universe, such as the contracting phase of the Pre Big Bang or the Cyclic/Ekpyrotic models of the Universe. This is not a gauge artifact and will…

High Energy Physics - Theory · Physics 2007-05-23 Thorsten Battefeld , Robert Brandenberger

We study cosmological perturbations of self-accelerating universe solutions in the recently proposed nonlinear theory of massive gravity, with general matter content. While the broken diffeomorphism invariance implies that there generically…

High Energy Physics - Theory · Physics 2012-03-07 A. Emir Gumrukcuoglu , Chunshan Lin , Shinji Mukohyama

Bouncing cosmologies, while offering a compelling alternative to inflationary models, face challenges from the growth of vector perturbations during the contracting phase. While linear vector instabilities can be avoided with specific…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Mian Zhu , Chao Chen

We present a new approach to gauge-invariant cosmological perturbations at second order, which is also covariant. We examine two cases in particular for a dust Friedman-Lemaitre-Robertson-Walker model of any curvature: we investigate…

Astrophysics · Physics 2014-10-13 Chris Clarkson

We study the gravitomagnetism in the TeVeS theory. We compute the gravitomagnetic field that a slow-moving mass distribution produces in its Newtonian regime. We report that the consistency between the TeVeS gravitomagnetic field and that…

General Relativity and Quantum Cosmology · Physics 2019-05-28 Qasem Exirifard

The Lemaitre-Tolman-Bondi solution has received much attention as a possible alternative to Dark Energy, as it is able to account for the apparent acceleration of the Universe without any exotic matter content. However, in order to make…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Chris Clarkson , Timothy Clifton , Sean February

Can local fluctuations of a ``Quintessence'' scalar field play a dynamical role in the gravitational clustering and cosmic structure formation process? We address this question in the general framework of scalar-tensor theories of gravity.…

Astrophysics · Physics 2009-11-10 F. Perrotta , S. Matarrese , M. Pietroni , C. Schimd

We have studied preheating of field perturbations in a 3-dimensional lattice including the effect of scalar metric perturbations, in two generic models of inflation: chaotic inflation with a quartic potential, and standard hybrid inflation.…

Astrophysics · Physics 2008-11-26 M. Bastero-Gil , M. Tristram , J. Macias-Perez , D. Santos

Bekenstein's theory of relativistic gravity is conventionally written as a bi-metric theory. The two metrics are related by a disformal transformation defined by a dynamical vector field and a scalar field. In this comment we show that the…

General Relativity and Quantum Cosmology · Physics 2014-02-18 T. G. Zlosnik , P. G. Ferreira , Glenn D. Starkman

Scalar perturbations of Friedmann-Lemaitre cosmologies can be analyzed in a variety of ways using Einstein's field equations, the Ricci and Bianchi identities, or the conservation equations for the stress-energy tensor, and possibly…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Claes Uggla , John Wainwright

We investigate the tensor and the scalar perturbations in the symmetric bouncing universe driven by one ordinary field and its Lee-Wick partner field which is a ghost. We obtain the even- and the odd-mode functions of the tensor…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Inyong Cho , O-Kab Kwon

We investigate whether the extra scalar degree of freedom that arises in the second connection class of scalar-tensor non-metricity gravity can accurately replicate and potentially enrich the cosmic expansion history. Focusing on a…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Ghulam Murtaza , Avik De , Andronikos Paliathanasis , Tee-How Loo

We derive the evolution equation for the second order curvature perturbation using standard techniques of cosmological perturbation theory. We do this for different definitions of the gauge invariant curvature perturbation, arising from…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-09 Pedro Carrilho , Karim A. Malik

It is believed that the recent detection of large tensor perturbations strongly favors the inflation scenario in the early universe. This common sense depends on the assumption that Einstein's general relativity is valid at the early…

High Energy Physics - Theory · Physics 2015-06-19 Mingzhe Li

We describe scalar-bimetric theories where the dynamics of the Universe are governed by two separate metrics, each with an Einstein-Hilbert term. In this setting, the baryonic and dark matter components of the Universe couple to metrics…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Philippe Brax , Patrick Valageas

We show that the spontaneous scalarization scenario in scalar-tensor theories is a specific case of a more general phenomenon. The key fact is that the instability causing the spontaneous growth in scalars is due to the nonminimal coupling…

General Relativity and Quantum Cosmology · Physics 2017-10-10 Fethi M. Ramazanoğlu