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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

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

We find spherically symmetric solutions in the modified Ho\v{r}ava-Lifshitz gravity proposed recently by Blas, Pujolas and Sibiryakov. The non-linear equations of the two derivative action turn out to be similar to those stemming from the…

High Energy Physics - Theory · Physics 2010-12-21 Elias Kiritsis

We derive general static spherically symmetric solutions in the Horava theory of gravity with nonzero shift field. These represent "hedgehog" versions of black holes with radial "hair" arising from the shift field. For the case of the…

High Energy Physics - Theory · Physics 2020-03-06 Dario Capasso , Alexios P. Polychronakos

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

We studied the low energy motion of particles in the general covariant version of Horava-Lifshitz gravity proposed by Horava and Melby-Thompson. Using a scalar field coupled to gravity according to the minimal substitution recipe proposed…

High Energy Physics - Theory · Physics 2011-12-22 Elcio Abdalla , Alan M. da Silva

We give a pedagogical introduction to static spherically symmetric solutions in models of New GR, both explaining the basics and showing how all such vacuum solutions can be obtained in elementary functions. In doing so, we coherently…

General Relativity and Quantum Cosmology · Physics 2024-02-07 Alexey Golovnev , A. N. Semenova , V. P. Vandeev

Using the multiplicity of solutions for the projectable case of the covariant extension of Horava-Lifshitz Gravity, we show that an appropriate choice for the auxiliary field allows for an effective description of galaxy rotation curves.…

High Energy Physics - Theory · Physics 2013-12-19 Jean Alexandre , Martyna Kostacinska

The purpose of this paper is to find and analyze plane symmetric, static(non static) solutions in Ho\v{r}ava- Lifshitz gravity. We discussed two versions of Horava gravity. First we showed that if the detailed balance principle have…

High Energy Physics - Theory · Physics 2011-03-28 M. R. Setare , D. Momeni

The most general spherically symmetric solution with zero shift is found in the non-projectable Horava-Lifshitz class of theories with general coupling constants. It contains as special cases, spherically symmetric solutions found by other…

High Energy Physics - Theory · Physics 2015-05-14 Elias Kiritsis , Georgios Kofinas

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

In this paper we investigate spherically symmetric vacuum solutions of $f(R)$ gravity in a higher dimensional spacetime. With this objective we construct a system of non-linear differential equations, whose solutions depend on the explicit…

General Relativity and Quantum Cosmology · Physics 2014-11-18 T. R. P. Caramês , E. R. Bezerra de Mello

The possibility of spherically symmetric solutions in bi-metric theory of gravity is examined. It is shown that two possible black hole type solutions exists in the model. Spherically symmetric solution of general theory of relativity is…

General Relativity and Quantum Cosmology · Physics 2014-03-28 Anoop Narayanan P E , P K Suresh

Higher-order theories of gravity have received much attention from several areas including quantum gravity, string theory and cosmology. This paper proposes a higher-order gravity whose action includes all curvature scalar terms up to the…

General Relativity and Quantum Cosmology · Physics 2020-08-04 G. Rodrigues-da-Silva , L. G. Medeiros

We studied spherically symmetric solutions in scalar-torsion gravity theories in which a scalar field is coupled to torsion with a derivative coupling. We obtained the general field equations from which we extracted a decoupled master…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Georgios Kofinas , Eleftherios Papantonopoulos , Emmanuel N. Saridakis

In this paper, we have studied nonstationary radiative spherically symmetric spacetime, in general covariant theory ($U(1)$ extension) of Ho\v{r}ava-Lifshitz gravity without the projectability condition and in the infrared limit. The…

General Relativity and Quantum Cosmology · Physics 2015-09-10 O. Goldoni , M. F. A. da Silva , G. Pinheiro , R. Chan

We develop a new covariant formalism to treat spherically symmetric spacetimes in metric} f(R) theories of gravity. Using this formalism we derive the general equations for a static and spherically symmetric metric in a general…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Anne Marie Nzioki , Sante Carloni , Rituparno Goswami , Peter K. S. Dunsby

Horava and Melby-Thompson recently proposed a new version of the Horava-Lifshitz theory of gravity, in which the spin-0 graviton is eliminated by introducing a Newtonian pre-potential $\phi$ and a local U(1) gauge field $A$. In this paper,…

High Energy Physics - Theory · Physics 2011-02-23 Anzhong Wang , Yumei Wu

We consider vacuum static spherically symmetric solutions in the hybrid metric-Palatini gravity theory, which is a combination of the metric and Palatini $f(R)$ formalisms unifying local constraints at the Solar System level and the…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Bogdan Danila , Tiberiu Harko , Francisco S. N. Lobo , Man Kwong Mak

We study spherically symmetric solutions in a covariant massive gravity model, which is a candidate for a ghost-free non-linear completion of the Fierz-Pauli theory. There is a branch of solutions that exhibits the Vainshtein mechanism,…

High Energy Physics - Theory · Physics 2011-11-04 Kazuya Koyama , Gustavo Niz , Gianmassimo Tasinato
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