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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

Utilizing various gauges of the radial coordinate we give a description of static spherically symmetric space-times with point singularity at the center and vacuum outside the singularity. We show that in general relativity (GR) there exist…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Plamen Fiziev

We constrain effective field theories by going beyond the familiar positivity bounds that follow from unitarity, analyticity, and crossing symmetry of the scattering amplitudes. As interesting examples, we discuss the implications of the…

High Energy Physics - Theory · Physics 2018-04-25 Brando Bellazzini , Francesco Riva , Javi Serra , Francesco Sgarlata

Recently Rizzo studied the Lorentz Invariance Violation (LIV) in a brane scenario with one extra dimension where he found a non-zero mass for the four-dimensional graviton. This leads to the conclusion that five-dimensional models with LIV…

High Energy Physics - Theory · Physics 2012-12-21 Victor Santos , C. A. S. Almeida

We consider the geometry of spacetime based on a non-metric, Finslerian, length measure, which, in terms of physics, represents a generalized clock. Our defnition of Finsler spacetimes ensure a well defined notion of causality, a precise…

General Relativity and Quantum Cosmology · Physics 2012-10-11 Christian Pfeifer , Mattias N. R. Wohlfarth

We show, using purely classical considerations and logical extrapolation of results belonging to point particle theories, that the metric background field in which a string propagates must satisfy an Einstein or an Einstein-like equation.…

High Energy Physics - Theory · Physics 2010-10-27 Sayan Kar

We study the degrees of freedom of $R^2$ gravity in flat spacetime with two approaches. By rewriting the theory a la Stueckelberg, and implementing Lorentz-like gauges to the metric perturbations, we confirm that the pure theory propagates…

High Energy Physics - Theory · Physics 2023-11-27 Anamaria Hell , Dieter Lust , George Zoupanos

Working directly with a general Hamiltonian for the spacetime metric with the $3+1$ decomposition and keeping only the spatial covariance, we investigate the possibility of reducing the number of degrees of freedom by introducing an…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Zhi-Bang Yao , Michele Oliosi , Xian Gao , Shinji Mukohyama

We show that higher spin systems specific to cosmological spaces are subject to the same problems as models with Poincar'e limits. In particular, we analyse partially massless (PM) spin 2 and find that both its gravitational coupling and…

High Energy Physics - Theory · Physics 2013-01-30 S. Deser , E. Joung , A. Waldron

We discuss the propagation of gravitational waves over a non-Riemannian spacetime, when a non-minimal coupling between the geometry and matter is considered in the form of contractions of the energy momentum tensor with the Ricci and…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Flavio Bombacigno , Fabio Moretti , Gonzalo J. Olmo

One of the deepest insights from the general theory of relativity is the relational nature of spacetime. While it is a generally agreed on that the nature of spacetime must be drastically different at the Planck scale, it has been a common…

General Relativity and Quantum Cosmology · Physics 2009-05-30 Kaca Bradonjic

It has recently been shown that the graviton can consistently gain a constant mass without introducing the Boulware-Deser ghost. We propose a gravity model where the graviton mass is set by a scalar field and prove that this model is free…

High Energy Physics - Theory · Physics 2014-02-06 Qing-Guo Huang , Yun-Song Piao , Shuang-Yong Zhou

To describe a massive graviton in 4D Minkowski space-time one introduces a quadratic term in the Lagrangian. This term, however, can lead to a readjustment or instability of the background instead of describing a massive graviton on flat…

High Energy Physics - Theory · Physics 2011-07-19 Gregory Gabadadze , Andrei Gruzinov

We present our Finsler spacetime formalism which extends the standard formulation of Finsler geometry to be applicable in physics. Finsler spacetimes are viable non-metric geometric backgrounds for physics; they guarantee well defined…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Christian Pfeifer , Mattias N. R. Wohlfarth

Aiming at non-experts, we explain the key mechanisms of higher-spin extensions of ordinary gravity. We first overview various no-go theorems for low-energy scattering of massless particles in flat spacetime. In doing so we dress a…

High Energy Physics - Theory · Physics 2015-05-19 Xavier Bekaert , Nicolas Boulanger , Per Sundell

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 provide a unified treatment of electric-magnetic duality, at the action level and with manifest Lorentz invariance, for massive, massless as well as partially-massless gravitons propagating in maximally symmetric spacetimes of any…

High Energy Physics - Theory · Physics 2018-07-13 Nicolas Boulanger , Andrea Campoleoni , Ignacio Cortese

We consider conformal and scale-invariant gravities in d dimensions, with a special focus on pure $R^2$ gravity in the scale-invariant case. In four dimensions, the structure of these theories is well known. However, in dimensions larger…

High Energy Physics - Theory · Physics 2025-06-24 Anamaria Hell , Dieter Lust

In this paper, we have considered a toy model of an anisotropic universe and studied the propagation of gravitational waves in such a universe. The consideration of this toy model simplifies the analysis and helps us to illustrate the…

General Relativity and Quantum Cosmology · Physics 2019-08-20 Sucheta Datta , Sarbari Guha

We generalize the mechanism proposed in [hep-th/0005016] and show that a four-dimensional relativistic tensor theory of gravitation can be obtained on a delta-function brane in flat infinite-volume extra space. In particular, we demonstrate…

High Energy Physics - Theory · Physics 2009-10-31 Gia Dvali , Gregory Gabadadze