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Vector fields in the expanding Universe are considered within the multidimensional theory of General Relativity. Vector fields in general relativity form a three-parametric variety. Our consideration includes the fields with a nonzero…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Boris E. Meierovich

A self-consistent extended Einstein-Maxwell model for relativistic non-stationary polarizable-magnetizable anisotropic media is presented. Based on the analogy with relativistic extended irreversible (transient) thermodynamics, the extended…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. B. Balakin

We propose superfield equations in tensorial N-extended superspaces to describe the N=2,4,8 supersymmetric generalizations of free conformal higher spin theories. These can be obtained by quantizing a superparticle model in N-extended…

High Energy Physics - Theory · Physics 2015-05-28 Igor A. Bandos , Jose A. de Azcarraga , Carlos Meliveo

Two field 2-forms on the space-time manifold, in a relationship of duality, are presented and included in the extended phase-space structure used to describe relativistic particles having both electric and magnetic charges. By exterior…

Mathematical Physics · Physics 2010-11-30 M. Grigorescu

The classical unified theory of Weyl is revisited. The possibility of stable extended electron model in the Einstein-Weyl space is suggested.

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. C. Tiwari

A general covariant extension of Einstein's field equations is considered with a view to Numerical Relativity applications. The basic variables are taken to be the metric tensor and an additional four-vector. The extended field equations,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Bona , T. Ledvinka , C. Palenzuela , M. Zacek

In this study, we present the phase-space analysis of Quintessence models specified by the choice of two potentials, namely the Recliner potential and what we call the broken exponential-law potential, which is a new proposal. Using a…

General Relativity and Quantum Cosmology · Physics 2022-04-14 Francesco Pace , Noemi Frusciante

We consider (1+4) generalization of classical electrodynamics including gravitation field. With this approach it is assumed a presence of an extra component of extended field stress tensor, whose physical interpretation is based on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Yu. Tsipenyuk , W. B. Belayev

We find a remarkably simple relationship between the following two models of the tangent space to the Universal Teichm\"uller Space: (1) The real-analytic model consisting of Zygmund class vector fields on the unit circle; (2) The…

alg-geom · Mathematics 2008-02-03 Subhashis Nag

We examine the possibility of localized propagating tachyonic fields within a properly extended relativity. A possible extension is to include superluminal transformations and reference frames. This leads to complex 4D spacetime, or real 8D…

High Energy Physics - Theory · Physics 2012-11-13 Matej Pavšič

We develop the general relativity of extended spacetime-property for describing events including their properties. The anticommuting nature of property coordinates, augmenting space-time $({\bf x},t)$, allows for the natural emergence of…

High Energy Physics - Theory · Physics 2015-06-18 Robert Delbourgo , Paul D Stack

We present a new type of ultracompact objects, featuring lightrings and echoes in the gravitational-wave spectrum. These particle-like solutions arise in Einstein-scalar-Gauss-Bonnet theories in four spacetime dimensions, representing…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Burkhard Kleihaus , Jutta Kunz , Panagiota Kanti

The scope of this talk is to present some preliminary results on an effort, currently in progress, to generate an exact solution of Einstein's equation, suitable for describing spacetime around a rotating compact object. Specifically, the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Thomas P. Sotiriou , Giorgos Pappas

We consider two kinds of higher dimensional models which upon dimensional reduction lead to Jordan-Brans-Dicke type effective actions in four dimensions with the scale factor of the extra dimensions playing the role of the JBD field. These…

General Relativity and Quantum Cosmology · Physics 2009-10-30 A. S. Majumdar

Biadjoint scalar field theories are increasingly important in the study of scattering amplitudes in various string and field theories. Recently, some first exact nonperturbative solutions of biadjoint scalar theory were presented, with a…

High Energy Physics - Theory · Physics 2017-12-06 Pieter-Jan De Smet , Chris D. White

Riemann extension for the anti Mach metric is derived, the solution of geodesic equations for the extended space are given, some properties for the extended space was studied and compared with the basic space and the constructions of a…

Differential Geometry · Mathematics 2016-04-14 M. Abdel-Megied , Nassar H. Abdel-All , E. A. Hegazy

We study corrections to the photon-propagator in a recently proposed model, where gravity lives in 4+n dimensions and Standard Model fields in 4 dimensions. We find a correction to the form factor of the photon that can be constrained by…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Akhoury , J. J. van der Bij

A classical model for the extension of singular spacetime geometries across their singularities is presented. The regularization introduced by this model is based on the following observation. Among the geometries that satisfy Einstein's…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Eran Rosenthal

In this survey the contemporary results concerning supersymmetries in generalized Schr\"odinger equations are presented. Namely, position dependent mass Sch\"odinger equations are discussed as well as the equations with matrix potentials.…

Mathematical Physics · Physics 2020-02-18 A. G. Nikitin

We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose (4+d)-dimensional gravitational action contains terms proportional to quadratic curvature scalars.…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Carsten van de Bruck , Chris Longden