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We investigate the vacuum and charged spherically symmetric static solutions of the Einstein equations on cosmological background. The background metric is not flat, but curved, with constant - curvature spatial sections. Both vacuum and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. N. Tentyukov

It is shown that an arbitrary static, spherically symmetric metric can be presented as an exact solution of a scalar-tensor theory (STT) of gravity with certain nonminimal coupling function $f(\phi)$ and potential $U(\phi)$. The scalar…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Kirill A. Bronnikov , Kodir Badalov , Rustam Ibadov

The time independent spherically symmetric solutions of General Relativity (GR) coupled to a dynamical unit timelike vector are studied. We find there is a three-parameter family of solutions with this symmetry. Imposing asymptotic flatness…

General Relativity and Quantum Cosmology · Physics 2010-02-05 Christopher Eling , Ted Jacobson

In this paper, analytical solutions describing static and spherically symmetric sources in the decoupling limit of massive gravity are derived. We analyze the model parameter range and specify when a Vainshtein mechanism is possible.…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Stefan Sjors , Edvard Mortsell

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

The static spherical vacuum solution in a bumblebee gravity model where the bumblebee field \(B_\mu\) has a one-component time-like vacuum expectation value \(b_\mu\) is studied. We show that in general curved space-time solutions are not…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Hao Li , Jie Zhu

We obtain the static spherically symmetric vacuum solutions of Horava-Lifshitz gravity theory, imposing the detailed balance condition only in the UV limit. We find the solutions in two different coordinate systems, the…

High Energy Physics - Theory · Physics 2013-05-29 Hang Bae Kim , Yoonbai Kim

We present a new stationary solution to the field equations of Ho\v{r}ava-Lifshitz gravity with the detailed balance condition and for any value of the coupling constant \lambda > 1/3 . This is the generalization of the corresponding…

High Energy Physics - Theory · Physics 2016-08-14 Alikram N. Aliev , Çetin Şentürk

There has been a significant surge of interest in Horava's model for 3+1 dimensional quantum gravity, this model being based on anisotropic scaling at a z=3 Lifshitz point. Horava's model, and its variants, show dramatically improved…

High Energy Physics - Theory · Physics 2015-05-13 Thomas P Sotiriou , Matt Visser , Silke Weinfurtner

We show that Schwarzschild geometry remains as a vacuum solution for those four-dimensional f(T) gravitational theories behaving as ultraviolet deformations of general relativity. In the gentler context of three-dimensional gravity, we also…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Rafael Ferraro , Franco Fiorini

In this paper, we consider two different issues, stability and strong coupling, raised lately in the newly-proposed Horava-Lifshitz (HL) theory of quantum gravity with projectability condition. We find that all the scalar modes are stable…

High Energy Physics - Theory · Physics 2011-02-18 Anzhong Wang , Qiang Wu

The exact static and spherically symmetric solutions of the vacuum field equations for a Higgs Scalar-Tensor theory (HSTT) are derived in Schwarzschild coordinates. It is shown that in general there exists no Schwarzschild horizon and that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nils M. Bezares-Roder , Hemwati Nandan , Heinz Dehnen

We discuss spherically symmetric solutions for point-like sources in Lorentz-breaking massive gravity theories. This analysis is valid for St\"uckelberg's effective field theory formulation, for Lorentz Breaking Massive Bigravity and…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Andrea Addazi , Salvatore Capozziello

The Horava-Lifshitz gravity, having broken the symmetry of space and time, includes three objects: the spatial metric $g_{ij}$, the lapse variable $N$, and the shift variable $N_{i}$. Each of these objects have their own scaling dimensions.…

High Energy Physics - Theory · Physics 2009-12-31 Qasem Exirifard

Recently Horava proposed a renormalizable gravity theory with higher derivatives by abandoning the Lorenz invariance in UV. Here, I study the Horava model at $\lambda=1/3$, where an anisotropic Weyl symmetry exists in the UV limit, in…

High Energy Physics - Theory · Physics 2015-05-14 Mu-in Park

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 analyze different claims on the role of the coupling constant lambda in so-called lambda-R models, a minimal generalization of general relativity inspired by Horava-Lifshitz gravity. The dimensionless parameter lambda appears in the…

High Energy Physics - Theory · Physics 2014-12-24 R. Loll , L. Pires

We study spherically symmetric static spacetimes generally filled with an anisotropic fluid in the nonrelativistic general covariant theory of gravity. In particular, we find that the vacuum solutions are not unique, and can be expressed in…

High Energy Physics - Theory · Physics 2011-01-27 Jared Greenwald , V. H. Satheeshkumar , 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

Horava gravity theory possesses global Lifshitz space as a solution and has been conjectured to provide a natural framework for Lifshitz holography. We derive the conditions on the two derivative Horava gravity Lagrangian that are necessary…

High Energy Physics - Theory · Physics 2016-04-06 Sayandeb Basu , Jishnu Bhattacharyya , David Mattingly , Matthew Roberson