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We propose a general approach for the construction of modified gravity which is invariant under foliation-preserving diffeomorphisms. Special attention is paid to the formulation of modified $F(R)$ Ho\v{r}ava-Lifshitz gravity (FRHL), whose…

High Energy Physics - Theory · Physics 2012-06-06 Masud Chaichian , Shin'ichi Nojiri , Sergei D. Odintsov , Markku Oksanen , Anca Tureanu

In this note we discuss the strong coupling issues inherent to the defining requirement for the so-called Einsteinian Cubic Gravity and its quasi-topological generalisations.

General Relativity and Quantum Cosmology · Physics 2021-02-03 Jose Beltrán Jiménez , Alejandro Jiménez-Cano

It is shown that, nonminimal coupling between the Standard Model (SM) Higgs field and spacetime curvature, present already at the renormalizable level, can be fine-tuned to stabilize the electroweak scale against power-law ultraviolet…

High Energy Physics - Phenomenology · Physics 2014-05-21 Durmus A. Demir

Using the dynamical system approach, properties of cosmological models based on the Horava-Lifshitz gravity are systematically studied. In particular, the cosmological phase space of the Horava-Lifshitz model is characterized. The analysis…

High Energy Physics - Theory · Physics 2015-05-14 Sante Carloni , Emilio Elizalde , Pedro J. Silva

In this paper, we first propose a universal coupling between the gravity and matter in the framework of the Ho\v{r}ava-Lifshitz theory of gravity with an extra U(1) symmetry for both the projectable and non-projectable cases. Then, using…

High Energy Physics - Phenomenology · Physics 2014-04-23 Kai Lin , Shinji Mukohyama , Anzhong Wang , Tao Zhu

We study Coupling Extended Proca-Nuevo gravity, a non-linear theory extending from dRGT massive gravity with a spin-1 field. This theory is shown to yield reliable, ghost-free cosmological solutions, modeling both the Universe's thermal…

General Relativity and Quantum Cosmology · Physics 2024-12-05 L. Sudharani , N. S. Kavya , V. Venkatesha

Ultralight scalar dark matter may couple to the Standard Model through dimension-five operators that contain the field-strength tensors of the gauge interactions. Recent progress in nuclear clocks is projected to increase the sensitivity to…

High Energy Physics - Phenomenology · Physics 2026-05-01 Gabriel Assant , Astrid Eichhorn , Benjamin Knorr

We provide compelling evidence that a previously introduced model of non-perturbative 2d Lorentzian quantum gravity exhibits (two-dimensional) flat-space behaviour when coupled to Ising spins. The evidence comes from both a high-temperature…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , K. N. Anagnostopoulos , R. Loll

This study investigates the compatibility of the electroweak sector of particle physics with quantum gravity, under the assumption that the conventional S-matrix positivity bounds can be extended to gravitational context. It focuses on…

High Energy Physics - Theory · Physics 2023-12-15 Tran Quang Loc

We consider the gravitational correction to the running of gauge coupling. Weak gravity conjecture implies that the gauge theories break down when the gravitational correction becomes greater than the contribution from gauge theories. This…

High Energy Physics - Theory · Physics 2010-10-27 Qing-Guo Huang

Recently a new four-dimensional non relativistic renormalizable theory of gravity was proposed by Horava. In this paper we have found different near horizon geometries in Horava gravity. We find the rotating solutions in a special range of…

High Energy Physics - Theory · Physics 2010-02-11 Ahmad Ghodsi , Ehsan Hatefi

We show that the recent comment by D. Gorokhov, is based on physically obvious errors and misunderstandings of the content of the criticized papers and is readily refuted. We show that 1) In our paper [1] there were considered situations of…

Superconductivity · Physics 2007-05-23 E. Babaev

Lorentz-invariant massive gravity is usually associated with a strong coupling scale $\Lambda_3$. By including non-trivial effects from the Stueckelberg modes, we show that about these vacua, one can push the strong coupling scale to higher…

High Energy Physics - Theory · Physics 2016-05-11 Claudia de Rham , Andrew J. Tolley , Shuang-Yong Zhou

Based on the renormalizable theory of gravitation recently proposed by Horava, we present a simple scenario to generate almost scale-invariant, super-horizon curvature perturbations. The anisotropic scaling with dynamical critical exponent…

High Energy Physics - Theory · Physics 2010-03-12 Shinji Mukohyama

We use the Wetterich equation for foliated spacetimes to study the RG flow of projectable Horava-Lifshitz gravity coupled to n Lifshitz scalars. Using novel results for anisotropic heat kernels, the matter-induced beta functions for the…

General Relativity and Quantum Cosmology · Physics 2014-10-29 Giulio D'Odorico , Frank Saueressig , Marrit Schutten

We study the ultraviolet complete non-relativistic theory recently proposed by Horava. After introducing a Lifshitz scalar for a general background, we analyze the cosmology of the model in Lorentzian and Euclidean signature. Vacuum…

High Energy Physics - Theory · Physics 2009-10-02 Gianluca Calcagni

We prove perturbative renormalizability of projectable Horava gravity. The key element of the argument is the choice of a gauge which ensures the correct anisotropic scaling of the propagators and their uniform falloff at large frequencies…

High Energy Physics - Theory · Physics 2017-06-27 Andrei O. Barvinsky , Diego Blas , Mario Herrero-Valea , Sergey M. Sibiryakov , Christian F. Steinwachs

Ho$\check{\textbf{r}}$ava proposed a non-relativistic renormalizable theory of gravitation, which is reduced to general relativity (GR) in large distances (infra-red regime (IR)). It is believed that this theory is an ultra-violet (UV)…

General Relativity and Quantum Cosmology · Physics 2011-04-11 D. Momeni

In the attempts toward a quantum gravity theory, general relativity faces a serious difficulty since it is non-renormalizable theory. Ho\v{r}ava-Lifshitz gravity offers a framework to circumvent this difficulty, by sacrificing the local…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-21 J. B. Fonseca-Neto , A. Yu. Petrov , M. J. Reboucas

We consider discretized gravity in 4+2 dimensions compactified on a disk of constant negative curvature. The curvature of the disk avoids the presence of dangerous ultra-light scalar modes but comes also along with a high multiplicity of…

High Energy Physics - Theory · Physics 2009-01-31 Gerhart Seidl