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Abelian gauge theories consist of a class of field equations which provide a model for the interaction between matter and electromagnetic fields. In this paper we analyze the existence of solitary waves for these theories. We assume that…

Analysis of PDEs · Mathematics 2007-11-22 Vieri Benci , Donato Fortunato

It is expected that the quantum nature of spacetime leaves its imprint in all semiclassical gravitational systems, at least in certain regimes, including gravitational waves. In this paper we investigate such imprints on gravitational waves…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Andrea Dapor , Klaus Liegener

We present a new general class of four-dimensional effective field theories with interesting global symmetry groups. These theories arise from purely gravitational actions for (3+1)-dimensional branes embedded in higher dimensional spaces…

High Energy Physics - Theory · Physics 2011-06-27 Garrett Goon , Kurt Hinterbichler , Mark Trodden

Generic models in Galileons or Horndeski theory do not have cosmological solutions that are free of instabilities and singularities in the entire time of evolution. We extend this No-Go theorem to a spacetime with torsion. On this more…

High Energy Physics - Theory · Physics 2024-07-22 S. Mironov , M. Valencia-Villegas

Caustics-envelopes formed by the trajectories of fluid particles-arise in proposed dynamical extensions for shell-crossing singularities occurring in the Einstein-dust system. In this study, a local existence result is established,…

General Relativity and Quantum Cosmology · Physics 2025-12-09 David Bick

We derive the perturbation equations for relativistic stars in scalar-tensor theories of gravity and study the corresponding oscillation spectrum. We show that the frequency of the emitted gravitational waves is shifted proportionally to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hajime Sotani , Kostas D. Kokkotas

The problem of duality symmetry in free field models is examined in details by performing a mode expansion of these fields which provides a mapping with the purely quantum mechanical example of a harmonic oscillator. By analysing the…

High Energy Physics - Theory · Physics 2007-05-23 R. Banerjee , B. Chakraborty

Since general relativity is the unique theory of massless spin 2 particles at large distances, the most reasonable way to have significant modifications is to introduce one or more light scalars that mediate a new long-range force. Most…

High Energy Physics - Theory · Physics 2023-02-02 Mark P. Hertzberg , Jacob A. Litterer , Neil Shah

Previous work has developed the theory of linearized gravitational wave (GW) interactions with matter using the Bondi-Sachs formalism, but with the perturbations restricted to be quadrupolar, i.e., the angular dependence is spherical…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Ulrich K. Beckering Vinckers , Nigel T. Bishop

We calculate the power emitted in scalar modes for a binary systems, including binary pulsars, with a conformal coupling to the most general Galileon effective field theory by considering perturbations around a static, spherical background.…

High Energy Physics - Theory · Physics 2013-08-08 Claudia de Rham , Andrew Matas , Andrew J. Tolley

We study spatially flat bouncing cosmologies and models with the early-time Genesis epoch in a popular class of generalized Galileon theories. We ask whether there exist solutions of these types which are free of gradient and ghost…

High Energy Physics - Theory · Physics 2016-08-31 M. Libanov , S. Mironov , V. Rubakov

The Siklos class of solutions of Einstein's field equations is investigated by analytical methods. By studying the behaviour of free particles we reach the conclusion that the space-times represent exact gravitational waves propagating in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky

General-relativistic stable spacetimes can be made unstable under the presence of certain nonminimally coupled free scalar fields. In this paper, we analyze the evolution of linear scalar-field perturbations in spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2014-03-11 Raissa F. P. Mendes , George E. A. Matsas , Daniel A. T. Vanzella

We study the cosmology of an extended version of Horndeski theories with second-order equations of motion on the flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) background. In addition to a dark energy field $\chi$ associated with the…

High Energy Physics - Theory · Physics 2014-09-01 Ryotaro Kase , Shinji Tsujikawa

Scalar lattice gauge theories are models for scalar fields with local gauge symmetries. No fundamental gauge fields, or link variables in a lattice regularization, are introduced. The latter rather emerge as collective excitations composed…

High Energy Physics - Lattice · Physics 2015-06-12 C. Wetterich

We continue the study of time-dependent Hamiltonians with an isolated singularity in their time dependence, describing propagation on singular space-times. In previous work, two of us have proposed a "minimal subtraction" prescription for…

High Energy Physics - Theory · Physics 2014-11-18 Ben Craps , Frederik De Roo , Oleg Evnin

The local Carroll symmetry of a gravitational wave found in Baldwin-Jeffery-Rosen coordinates is extended to a globally defined one by switching to Brinkmann coordinates. Two independent globally defined solutions of a Sturm-Liouville…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Mahmut Elbistan , Peng-Ming Zhang , Peter Horvathy

Motivated by an analogy with the conformal factor problem in gravitational theories of the $R+R^2$-type we investigate a $d$-dimensional Euclidean field theory containing a complex scalar field with a quartic self interaction and with a…

High Energy Physics - Theory · Physics 2010-11-19 O. Lauscher , M. Reuter , C. Wetterich

In this work, we investigate the relation between higher-dimensional gauge theories and stochastic gravitational wave (GW) spectrums caused by their potential. It is known that the higher-dimensional gauge theories can induce the…

High Energy Physics - Phenomenology · Physics 2025-02-14 Takuya Hirose , Hiroto Shibuya

We use the amplitude soft bootstrap method to explore the space of effective field theories (EFT) of massless vectors and scalars. It is known that demanding vanishing soft limits fixes uniquely a special class of EFTs: non-linear sigma…

High Energy Physics - Theory · Physics 2021-08-04 Karol Kampf , Jiri Novotny , Filip Preucil , Jaroslav Trnka