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Recently, Ho$\breve{r}$ava proposed a non-relativistic renormalizable theory of gravity which is essentially a field theoretic model for a UV complete theory of gravity and reduces to Einstein gravity with a non-vanishing cosmological…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Ritabrata biswas , Subenoy Chakraborty

Recently, a renormalizable gravity theory with higher spatial derivatives in four dimensions was proposed by Horava. The theory reduces to Einstein gravity with a non-vanishing cosmological constant in IR, but it has improved UV behaviors.…

General Relativity and Quantum Cosmology · Physics 2009-08-25 Tiberiu Harko , Zoltán Kovács , Francisco S. N. Lobo

Recently Horava proposed a non-relativistic renormalisable theory of gravitation, which reduces to Einstein's general relativity at large distances, and that may provide a candidate for a UV completion of Einstein's theory. In this paper,…

High Energy Physics - Theory · Physics 2009-09-02 H. Lu , Jianwei Mei , C. N. Pope

We discuss the cosmology of recently proposed Horava-Lifshitz f(R) gravity. In particular, we derive the modified Hubble equation that reduces to the standard HL gravity case in appropriate limit. We show how the bounce solutions in this…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-13 Sayan K. Chakrabarti , Koushik Dutta , Anjan A. Sen

We study quantum corrections to projectable Horava gravity with $z = 2$ scaling in 2+1 dimensions. Using the background field method, we utilize a non-singular gauge to compute the anomalous dimension of the cosmological constant at one…

High Energy Physics - Theory · Physics 2017-06-14 Tom Griffin , Kevin T. Grosvenor , Charles M. Melby-Thompson , Ziqi Yan

Recently a renormalizable model of gravity has been proposed, which might be a UV completion of General Relativity (GR) or its infra-red modification, probably with a strongly coupled scalar mode. Although the generic vacuum of the theory…

High Energy Physics - Theory · Physics 2009-09-28 R. A. Konoplya

We show that the Horava theory for the completion of General Relativity at UV scales can be interpreted as a gauge fixed theory, and it can be extended to an invariant theory under the full group of four-dimensional diffeomorphisms. In this…

High Energy Physics - Theory · Physics 2015-05-13 Cristiano Germani , Alex Kehagias , Konstadinos Sfetsos

Horava gravity has been constructed so as to exhibit anisotropic scaling in the ultraviolet, as this renders the theory power-counting renormalizable. However, when coupled to matter, the theory has been shown to suffer from quadratic…

High Energy Physics - Theory · Physics 2015-03-12 Mattia Colombo , A. Emir Gumrukcuoglu , Thomas P. Sotiriou

At the present work, it is studied the extension of F (R) gravities to the new recently proposed theory of gravity, the so-called Horava-Lifshitz gravity, which provides a way to make the theory power counting renormalizable by breaking…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Diego Sáez-Gómez

We present a candidate quantum field theory of gravity with dynamical critical exponent equal to z=3 in the UV. (As in condensed matter systems, z measures the degree of anisotropy between space and time.) This theory, which at short…

High Energy Physics - Theory · Physics 2009-04-22 Petr Horava

In models of modified gravity, extra degrees of freedom usually appear. They must be removed from the spectrum because they may indicate the presence of instabilities and because otherwise the model might not agree with observation. In the…

High Energy Physics - Theory · Physics 2014-11-18 Luca Grisa

Horava gravity is a relatively recent (Jan 2009) idea in theoretical physics for trying to develop a quantum field theory of gravity. It is not a string theory, nor loop quantum gravity, but is instead a traditional quantum field theory…

High Energy Physics - Theory · Physics 2017-11-29 Matt Visser

We show that coupling the Standard Model to a Lorentz symmetry violating sector may co-exist with viable phenomenology, provided that the interaction between the two is mediated by higher-dimensional operators. In particular, if the new…

High Energy Physics - Theory · Physics 2013-05-30 Maxim Pospelov , Yanwen Shang

In Horava's theory of gravity, Lorentz symmetry is broken in exchange for renormalizability, but the original theory has been argued to be plagued with problems associated with a new scalar mode stemming from the very breaking of Lorentz…

High Energy Physics - Theory · Physics 2015-05-18 Tsutomu Kobayashi , Yuko Urakawa , Masahide Yamaguchi

In this paper, we study the quantization of the (1+1)-dimensional projectable Ho\v{r}ava-Lifshitz (HL) gravity, and find that, when only gravity is present, the system can be quantized by following the canonical Dirac quantization, and the…

High Energy Physics - Theory · Physics 2015-01-07 Bao-Fei Li , Anzhong Wang , Yumei Wu , Zhong Chao Wu

Ho\v{r}ava gravity is a attempt to construct a renormalizable theory of gravity by breaking the Lorentz Invariance of the gravitational action at high energies. The underlying principle is that Lorentz Invariance is an approximate symmetry…

General Relativity and Quantum Cosmology · Physics 2013-05-29 R. H. Sanders

Horava gravity is a proposal for completing general relativity in the ultraviolet by interactions that violate Lorentz invariance at very high energies. We focus on (2+1)-dimensional projectable Horava gravity, a theory which is…

General Relativity and Quantum Cosmology · Physics 2021-12-20 Guillermo Lara , Mario Herrero-Valea , Enrico Barausse , Sergey M. Sibiryakov

We define various Born-Infeld gravity theories in 3+1 dimensions which reduce to Horava's model at the quadratic level in small curvature expansion. In their exact forms, our actions provide z->(infinity) extensions of Horava's gravity, but…

High Energy Physics - Theory · Physics 2010-06-24 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

An anisotropic model describing gravity--vector gauge coupling at all energy scales is presented. The starting point is the 4+1 dimensional non--projectable Ho\v{r}ava--Lifshitz gravity theory subject to a geometrical restriction.…

High Energy Physics - Theory · Physics 2023-01-23 Alvaro Restuccia , Francisco Tello-Ortiz

If quantum gravity violates Lorentz symmetry, the prospects for observational guidance in understanding quantum gravity improve considerably. This article briefly reviews previous work on Lorentz violation (LV) and discusses aspects of the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ted Jacobson , Stefano Liberati , David Mattingly