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We have obtained the most general solution of the Einstein vacuum equation for the axially symmetric stationary metric in which both the Hamilton-Jacobi equation for particle motion and the Klein - Gordon equation are separable. It can be…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Naresh Dadhich , Z. Ya. Turakulov

A new class of modified gravity theories, made possible by subtle features of the canonical formulation of general covariance, naturally allows MOND-like behavior (MOdified Newtonian Dynamics) in effective space-time solutions without…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Martin Bojowald , Erick I. Duque

The post-Newtonian and post-Minkowskian solutions for the motion of binary mass systems in gravity can be derived in terms of momentum expansions within effective field theory approaches. In the post-Minkowskian approach the expansion is…

General Relativity and Quantum Cosmology · Physics 2019-11-12 J. Blümlein , A. Maier , P. Marquard , G. Schäfer , C. Schneider

A family of vector fields that are the infinitesimal generators of determined one-parameter groups of transformations are constructed. It is shown that these vector fields represent symmetries of the system of differential equations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jose Luis Hernandez-Pastora

We study the existence of classical soliton solutions with intrinsic angular momentum in Yang-Mills-Higgs theory with a compact gauge group $\mathcal{G}$ in (3+1)-dimensional Minkowski space. We show that for \textit{symmetric} gauge fields…

High Energy Physics - Theory · Physics 2016-09-06 Mikhail S. Volkov , Erik Woehnert

The aim of these notes is to give an accessible and self-contained introduction to the theory of gravitational waves as the theory of a relativistic symmetric tensor field in a Minkowski background spacetime. This is the approach of a…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Marco de Cesare , R. Oliveri , J. W. van Holten

We define the mass and current multipole moments for an arbitrary theory of gravity in terms of canonical Noether charges associated with specific residual transformations in canonical harmonic gauge, which we call multipole symmetries. We…

High Energy Physics - Theory · Physics 2018-05-11 G. Compère , R. Oliveri , A. Seraj

We construct a plethora of new Euclidean AdS-Taub-NUT and bolt solutions of several four- and six-dimensional higher-curvature theories of gravity with various base spaces $\mathcal{B}$. In $D=4$, we consider Einsteinian cubic gravity, for…

High Energy Physics - Theory · Physics 2018-11-14 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Robert B. Mann

We model A_k and D_k asymptotically locally flat gravitational instantons on the moduli spaces of solutions of U(2) Bogomolny equations with prescribed singularities. We study these moduli spaces using Ward correspondence and find their…

High Energy Physics - Theory · Physics 2009-10-31 S. A. Cherkis , A. Kapustin

The existence of non trivial, non topological solutions in a class of induced, effective gravity models arising out of a non minimally coupled scalar field is established. We shall call such solutions ``Gravity Balls'' as the effective…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Daksh Lohia

We derive a kinetic Boltzmann equation characterizing the long-term statistical behavior of the turbulent dynamics of nonlinear interacting gravitational wave multipoles in Minkowski spacetime and show that, injecting a large number of…

General Relativity and Quantum Cosmology · Physics 2025-12-10 A. Ianniccari , A. Kehagias , L. Lo Bianco , A. Riotto

A class of exact solutions of the Einstein-Maxwell equations is presented which contains infinite sets of gravitoelectric, gravitomagnetic and electromagnetic multipole moments. The multipolar structure of the solutions indicates that they…

General Relativity and Quantum Cosmology · Physics 2012-01-10 Hernando Quevedo

We consider massless higher spin gauge theories with both electric and magnetic sources, with a special emphasis on the spin two case. We write the equations of motion at the linear level (with conserved external sources) and introduce…

High Energy Physics - Theory · Physics 2008-11-26 C. Bunster , S. Cnockaert , M. Henneaux , R. Portugues

We are interested in the problem of existence of soliton-like solutions for the nonlinear Klein-Gordon equation. In particular we study some necessary and sufficient conditions on the nonlinear term to obtain solitons of a given charge. We…

Analysis of PDEs · Mathematics 2009-10-12 Claudio Bonanno

A broad class of higher dimensional instanton solutions are found for a theory which contains gravity, a scalar field and antisymmetric tensor fields of arbitrary rank. The metric used, a warp product of an arbitrary number of any compact…

High Energy Physics - Theory · Physics 2010-02-03 J. A. Gray , E. J. Copeland

In our previous work, a novel idea that the NUT charge can be thought of as a thermodynamical multi-hair has been advocated to describe perfectly the thermodynamical character of the generic four-dimensional Taub-NUT spacetimes. According…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Di Wu , Shuang-Qing Wu

We construct a novel charged Taub-NUT spacetime, providing a first non-trivial example of a self-gravitating solution to the recently proposed ModMax theory, the most general (1-parametric) theory of non-linear electrodynamics that is…

High Energy Physics - Theory · Physics 2021-04-28 Alvaro Ballon Bordo , David Kubiznak , Tales Rick Perche

We describe gauge theories which allow to retrieve a large class of gravitational theories, including, MacDowell-Mansouri gravity and its topological extension to Loop Quantum Gravity via the Pontrjagin characteristic class involving the…

General Relativity and Quantum Cosmology · Physics 2026-01-07 J. Thibaut , S. Lazzarini

We extend the formulation of spin 2 fields on Minkowski space which makes the action manifestly invariant under duality rotations to the case of interactions with external electric and magnetic sources by adding suitable potentials for the…

High Energy Physics - Theory · Physics 2010-04-28 Glenn Barnich , Cedric Troessaert

We propose a graded classification of the entire field of multivector physics, including all alternative points of view. The (often tacit) postulates of different types of formulations are contrasted, summarizing their consequences.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 William M. Pezzaglia