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In this paper, we have studied nonstationary radiative spherically symmetric spacetime, in general covariant theory ($U(1)$ extension) of {the} Ho\v{r}ava-Lifshitz gravity with the minimum coupling, in the post-newtonian approximation…

General Relativity and Quantum Cosmology · Physics 2016-02-09 O. Goldoni , M. F. A. da Silva , R. Chan , G. Pinheiro

In this paper, we have studied non stationary dust spherically symmetric spacetime, in general covariant theory ($U(1)$ extension) of the Ho\v{r}ava-Lifshitz gravity with the minimally coupling and non-minimum coupling with matter, in the…

General Relativity and Quantum Cosmology · Physics 2016-02-09 O. Goldoni , M. F. A. da Silva , R. Chan

We study spherically symmetric, stationary vacuum configurations in general covariant theory (U(1) extension) of Ho\v{r}ava-Lifshitz gravity with the projectability condition and an arbitrary coupling constant $\lambda$, and obtain all the…

High Energy Physics - Theory · Physics 2015-06-05 Kai Lin , Shinji Mukohyama , Anzhong Wang

We study the most general case of spherically symmetric vacuum solutions in the framework of the Covariant Horava Lifshitz Gravity, for an action that includes all possible higher order terms in curvature which are compatible with…

High Energy Physics - Theory · Physics 2011-04-29 Jean Alexandre , Pavlos Pasipoularides

Non-projectable Ho\v{r}ava gravity for a spherically symmetric configuration with $\lambda=1$ exhibits an infinite set of solutions parametrized by a generic function $g^{2}(r)$ for the radial component of the shift vector. In the IR limit…

High Energy Physics - Theory · Physics 2011-01-20 Dario Capasso

In this paper we seek static spherically symmetric solutions of Horava-Lifshitz-like gravity with projectability condition. We consider the most general form of gravity action without detailed balance, and require the spacetime metric to…

High Energy Physics - Theory · Physics 2014-11-20 Jin-Zhang Tang , Bin Chen

In this paper, we study static post-Newtonian limits in non-projectable Ho\v{r}ava-Lifshitz gravity with an extra U(1) symmetry. After obtaining all static spherical solutions in the infrared, we apply them to the solar system tests, and…

High Energy Physics - Theory · Physics 2015-06-12 Kai Lin , Anzhong Wang

In this paper, we study electromeganetic static spacetimes in the nonrelativisitc general covariant theory of the Horava-Lifshitz (HL) gravity, proposed recently by Horava and Melby-Thompson, and present all the electric static solutions,…

High Energy Physics - Theory · Physics 2012-04-02 Ahmad Borzou , Kai Lin , Anzhong Wang

Non-stationary null dust in a spherically symmetric spacetime is studied in the context of a general-covariant Horava-Lifshitz theory. The non-minimal coupling to matter is considered in the infrared limit. The aim of this paper is to study…

General Relativity and Quantum Cosmology · Physics 2017-11-27 O. Goldoni , M. F. A. da Silva , R. Chan , V. H. Satheeshkumar , J. F. Villas da Rocha

In this note we examine whether spherically symmetric solutions in Covariant Horava Lifshitz Gravity can reproduce Newton's Law in the IR limit \lambda->1. We adopt the position that the auxiliary field A is independent of the space-time…

High Energy Physics - Theory · Physics 2015-08-27 Jean Alexandre , Pavlos Pasipoularides

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

We study gravitational collapse of a spherical fluid in nonrelativistic general covariant theory of the Ho\v{r}ava-Lifshitz gravity with the projectability condition and an arbitrary coupling constant $\lambda$, where $|\lambda - 1|$…

High Energy Physics - Theory · Physics 2015-06-01 Jared Greenwald , Jonatan Lenells , V. H. Satheeshkumar , Anzhong Wang

We perform a fully nonlinear analysis of superhorizon perturbation in Ho\v{r}ava-Lifshitz gravity, based on the gradient expansion method. We present a concrete expression for the solution of gravity equations up to the second order in the…

High Energy Physics - Theory · Physics 2013-05-29 Keisuke Izumi , Shinji Mukohyama

A spherically symmetric solution of the field equations of the Ho\v{r}ava--Lifshitz gravity--gauge vector interaction theory is obtained and analyzed. It describes a charged throat. The solution exists provided a restriction on the relation…

High Energy Physics - Theory · Physics 2023-01-11 Alvaro Restuccia , Francisco Tello-Ortiz

Stationary, axisymmetric and slowly rotating vacuum spacetimes in the Ho\v{r}ava-Lifshitz (HL) gravity are studied, and shown that, for any given spherical static vacuum solution of the HL theory (of any model, including the ones with an…

High Energy Physics - Theory · Physics 2013-07-11 Anzhong Wang

We consider an extended theory of Horava-Lifshitz gravity with the detailed balance condition softly breaking, but without the projectability condition. With the former, the number of independent coupling constants is significantly reduced.…

High Energy Physics - Theory · Physics 2012-03-01 Tao Zhu , Fu-Wen Shu , Qiang Wu , Anzhong Wang

In the present work, we search static charged black hole solutions to Ho\v{r}ava-Lifshitz gravity with or without projectability condition. We consider the most general form of action which electromagnetic field couples with…

High Energy Physics - Theory · Physics 2010-01-12 Jin-Zhang Tang

Ho\v{r}ava--Lifshitz gravity has covariance only under the foliation-preserving diffeomorphism. This implies that the quantities on the constant-time hypersurfaces should be regular. In the original theory, the projectability condition,…

General Relativity and Quantum Cosmology · Physics 2013-12-18 Naoki Tsukamoto , Tomohiro Harada

We present a fully nonlinear study of long wavelength cosmological perturbations within the framework of the projectable Horava-Lifshitz gravity, coupled to a single scalar field. Adopting the gradient expansion technique, we explicitly…

High Energy Physics - Theory · Physics 2013-05-30 A. Emir Gumrukcuoglu , Shinji Mukohyama , Anzhong Wang

We investigate static spherically symmetric vacuum solutions in the IR limit of projectable nonrelativistic quantum gravity, including the renormalisable quantum gravity recently proposed by Ho\v{r}ava. It is found that the projectability…

General Relativity and Quantum Cosmology · Physics 2011-03-04 Tomohiro Harada , Umpei Miyamoto , Naoki Tsukamoto
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