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We present a detailed numerical study of the stability under periodic perturbations of line solitons of two-dimensional, generalized Zakharov-Kuznetsov equations with various power nonlinearities. In the $L^{2}$-subcritical case, in…

Analysis of PDEs · Mathematics 2023-04-26 Christian Klein , Jean-Claude Saut , Nikola Stoilov

Space-time--time couples Kaluza's five-dimensional geometry with Weyl's conformal space-time geometry to produce an extension that goes beyond what either of those theories can achieve by itself. Kaluza's ``cylinder condition'' is replaced…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

We consider theories in which the Standard Model gauge fields propagate in extra dimensions whose size is around the electroweak scale. The Standard Model quarks and leptons may either be localized to a brane or propagate in the bulk. This…

High Energy Physics - Phenomenology · Physics 2014-11-17 Zackaria Chacko , Elena Perazzi

A generic prediction of scenarios with extra dimensions accessible in TeV-scale collisions is the existence of Kaluza-Klein excitations of the graviton. For a broad class of strongly-warped scenarios one expects to initially find an…

High Energy Physics - Phenomenology · Physics 2016-06-08 Steven B. Giddings , Hao Zhang

Nuclear rings at centers of barred galaxies exhibit strong star formation activities. They are thought to undergo gravitational instability when sufficiently massive. We approximate them as rigidly-rotating isothermal objects and…

Astrophysics of Galaxies · Physics 2016-09-28 Woong-Tae Kim , Sanghyuk Moon

We describe how a certain simple modification of general relativity, in which the local cosmological constant is allowed to depend on the space-time curvature, predicts the existence of halos of modified gravity surrounding…

General Relativity and Quantum Cosmology · Physics 2009-03-20 Kirill Krasnov , Yuri Shtanov

We study how self gravitation of quantum systems affects the quantum coherence present in their state. Spatial superpositions of static, large, heavy systems tend to rapidly lose coherence, whereas light or massless particles are…

Quantum Physics · Physics 2020-12-15 David Edward Bruschi , Frank K. Wilhelm

We perform a systematic study of various versions of massive gravity with and without violation of Lorentz symmetry in arbitrary dimension. These theories are well known to possess very unusual properties, unfamiliar from studies of gauge…

High Energy Physics - Phenomenology · Physics 2014-11-20 Andrei Mironov , Sergey Mironov , Alexei Morozov , Andrey Morozov

We analyze the physics of massive spin 2 fields in (A)dS backgrounds and exhibit that: The theory is stable only for masses m^2 >= 2\Lambda/3, where the conserved energy associated with the background timelike Killing vector is positive,…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

We systematically study the holographic phase transition of the radion field in a five-dimensional warped model which includes a scalar potential with a power-like behavior. We consider Kaluza-Klein (KK) resonances with masses $m_{\rm KK}$…

High Energy Physics - Phenomenology · Physics 2020-09-16 Eugenio Megias , Germano Nardini , Mariano Quiros

We study the stability of fracton gravity, a variant of linearized gravity where the gauge symmetry is restricted to longitudinal diffeomorphisms. These transformations can be connected to a spacetime generalization of dipole symmetry,…

High Energy Physics - Theory · Physics 2024-06-28 Evangelos Afxonidis , Alessio Caddeo , Carlos Hoyos , Daniele Musso

We compute the one-loop Casimir energy of gravity and matter fields, obeying various boundary conditions, in 5-dimensional S^1/Z_2 and 6-dimensional T^2/Z_k orbifolds. We discuss the role of the Casimir energy in possible radius…

High Energy Physics - Phenomenology · Physics 2010-05-28 Eduardo Ponton , Erich Poppitz

The stability of photon trajectories in models of the Universe that have constant spatial curvature is determined by the sign of the curvature: they are exponentially unstable if the curvature is negative and stable if it is positive or…

Chaotic Dynamics · Physics 2009-11-10 C. P. Dettmann , J. P. Keating , S. D. Prado

It is known that spatial curvature can stabilize extra dimensions in Lovelock gravity. In the present paper we study stability of the stabilization solutions in 3-d order Lovelock gravity. We show that in the case of negative spatial…

General Relativity and Quantum Cosmology · Physics 2023-01-19 Dmitry Chirkov , Alexey Toporensky

Higher-dimensional field theory has been applied to explore various issues in recent particle physics such as the gauge hierarchy problem. In order for such approaches to be viable, a crucial ingredient is to fix the sizes of extra…

High Energy Physics - Phenomenology · Physics 2010-02-03 Tatsuo Kobayashi , Koichi Yoshioka

Theories with large extra dimensions predict an infinite tower of Kaluza-Klein states in the 1 TeV range, which can consequently have significant implications for experimental observables. One such observable, which gets affected by the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Prakash Mathews , P. Poulose , K. Sridhar

We consider cosmological topologically massive gravity at the chiral point with positive sign of the Einstein-Hilbert term. We demonstrate the presence of a negative energy bulk mode that grows linearly in time. Unless there are physical…

High Energy Physics - Theory · Physics 2010-05-12 Daniel Grumiller , Niklas Johansson

We compute the graviton Kaluza-Klein spectrum on a gravity-dilaton background with a naked singularity for all possible boundary conditions at the singularity which are consistent with unitary evolution. We apply methods from…

High Energy Physics - Phenomenology · Physics 2013-11-20 Nikos Brouzakis , Mariano Quiros

We demonstrate the classical stability of the BTZ black hole within the context of topologically massive gravity. The linearized perturbation equations can be solved exactly in this case. By choosing standard boundary conditions appropriate…

High Energy Physics - Theory · Physics 2011-02-25 Danny Birmingham , Susan Mokhtari , Ivo Sachs

The motion of superluminal particles in the gravitational field of a non-rotating black hole is analyzed. The relativistic Hamilton-Jacobi equation is solved for particles with imaginary rest mass. It is shown that there are no stable…

General Relativity and Quantum Cosmology · Physics 2013-01-24 V. M. Lipunov