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We analyze the electromagnetic-gravity interaction in a pure Ho\v{r}ava-Lifshitz framework. To do so we formulate the Ho\v{r}ava-Lifshitz gravity in $4+1$ dimensions and perform a Kaluza-Klein reduction to $3+1$ dimensions. We use this…

High Energy Physics - Theory · Physics 2018-11-21 Jorge Bellorin , Alvaro Restuccia , Francisco Tello-Ortiz

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 study the growth of cosmological perturbations in the model of Lorentz-violating massive gravity. The Friedman equation in this model acquires an unconventional term due to the Lorentz-breaking condensates which has the equation of state…

Astrophysics · Physics 2008-12-18 Michael V. Bebronne , Peter G. Tinyakov

We show that, contrary to the claim made in arXiv:0911.1299, the extended Horava gravity model proposed in arXiv:0909.3525 does not suffer from a strong coupling problem. By studying the observational constraints on the model we determine…

High Energy Physics - Theory · Physics 2010-05-12 D. Blas , O. Pujolas , S. Sibiryakov

We consider a modification of the standard Einstein theory in four dimensions, alternative to R. Jackiw and S.-Y. Pi, Phys. Rev. D 68, 104012 (2003), since it is based on the first-order (Einstein-Cartan) approach to General Relativity,…

High Energy Physics - Theory · Physics 2008-11-26 Marcelo Botta Cantcheff

In this paper, the issue how to introduce matter in Ho\v{r}ava-Lifshitz theories of gravity is addressed. This is a key point in order to complete the proper definition of these theories and, what is very important, to study their possible…

High Energy Physics - Theory · Physics 2011-11-04 Sante Carloni , Emilio Elizalde , Pedro J. Silva

Violations of Lorentz (and specifically boost) invariance can make gravity renormalizable in the ultraviolet, as initially noted by Ho\v{r}ava, but are increasingly constrained in the infrared. At low energies, Ho\v{r}ava gravity is…

General Relativity and Quantum Cosmology · Physics 2021-04-13 Nicola Franchini , Mario Herrero-Valea , Enrico Barausse

The Horava theory depends on several coupling constants. The kinetic term of its Lagrangian depends on one dimensionless coupling constant lambda. For the particular value lambda = 1/3 the kinetic term becomes conformal invariant, although…

High Energy Physics - Theory · Physics 2016-10-06 Jorge Bellorin , Alvaro Restuccia

We investigate the f(R) theory of gravity with broken diffeomorphism due to the change of the coefficient in front of the total divergence term in the (3+1)-decomposition of the scalar curvature. We perform the canonical analysis of this…

General Relativity and Quantum Cosmology · Physics 2016-05-18 M. Chaichian , A. Ghalee , J. Kluson

This short note is devoted to the canonical analysis of the Horava-Lifshitz gravity with mixed derivative terms that was proposed in arXiv:1604.04215. We determine the algebra of constraints and we show that there is one additional scalar…

High Energy Physics - Theory · Physics 2016-11-23 J. Kluson

We consider a model of Quantum Gravity phenomenology, based on the idea that space-time may have some unknown granular structure that respects the Lorentz symmetry. The proposal involves non-trivial couplings of curvature to matter fields…

General Relativity and Quantum Cosmology · Physics 2008-01-21 Y. Bonder

Phenomenological approaches to quantum gravity try to infer model-independent laws by analyzing thought experiments and combining both quantum, relativistic, and gravitational ingredients. We first review these ingredients -three basic…

General Relativity and Quantum Cosmology · Physics 2013-08-21 Jean-Philippe Bruneton

The gravitational couplings of matter are studied in the presence of Lorentz and CPT violation. At leading order in the coefficients for Lorentz violation, the relativistic quantum hamiltonian is derived from the gravitationally coupled…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Alan Kostelecky , Jay Tasson

We study a version of the recently proposed modified $F(R)$ Ho\v{r}ava-Lifshitz gravity that abandons the projectability condition of the lapse variable. We discovered that the projectable version of this theory has a consistent Hamiltonian…

High Energy Physics - Theory · Physics 2012-06-07 Masud Chaichian , Markku Oksanen , Anca Tureanu

In this work we have used a Ho\v{r}ava-Lifshitz scaling to rewrite a Lorentz-violating higher-order derivative electrodynamics controlled by a background four-vector $n_{\mu}$. The photon propagator was obtained and we have analyzed the…

High Energy Physics - Theory · Physics 2016-04-27 E. Passos , E. M. C. Abreu , M. A. Anacleto , F. A. Brito , C. Wotzasek , C. A. D. Zarro

Ho\v{r}ava-Lifshitz gravity has been proposed as a ghost-free quantum gravity model candidate with an anisotropic UV-scaling between space and time. We present here a cosmological background analysis of two different formulations of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-04 Ewa Czuchry , Nils A. Nilsson

We investigate the renormalization group flow of projectable Horava gravity in $(3+1)$ dimensions generated by marginal operators with respect to the Lifshitz scaling. The flow possesses a number of asymptotically free fixed points. We find…

High Energy Physics - Theory · Physics 2024-12-03 Andrei O. Barvinsky , Alexander V. Kurov , Sergey M. Sibiryakov

We present a new mechanism for addressing the cosmological constant problem based on global constraints arising from a lapse function in a higher-dimensional gravitational theory. Inspired by Horava-Lifshitz gravity, we consider a 5d…

High Energy Physics - Theory · Physics 2026-04-13 Justin Khoury , Benjamin Muntz , Antonio Padilla

We propose the most general modified first-order Ho\v{r}ava-Lifshitz (HL) gravity, whose action does not contain time derivatives higher than the second order. The Hamiltonian structure of this theory is studied in all the details in the…

High Energy Physics - Theory · Physics 2015-03-13 Sante Carloni , Masud Chaichian , Shin'ichi Nojiri , Sergei D. Odintsov , Markku Oksanen , Anca Tureanu

This paper discusses the somewhat unintuitive conjecture that many Lorentz-invariant many-particle models can be reinterpreted to satisfy the gtr field equations. It is shown that a careful remapping of coordinates yields a non-trivial…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Niclas Thisell
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