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In this paper, we investigate the geometry of Einstein-type equation on a Riemannian manifold, unifying various particular geometric structures recently studied in the literature, such as critical point equation and vacuum static equation.…

Differential Geometry · Mathematics 2022-03-31 Gabjin Yun , Seungsu Hwang

We introduce a new class of inhomogeneous cosmological models as solutions to the Einstein-Maxwell equations in electrovacuum. The new models can be considered to be nonlinear perturbations, through an electromagnetic field, of the…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Jörg Hennig

We construct a global geometric model for complex analytic equivariant elliptic cohomology for all compact Lie groups. Cocycles are specified by functions on the space of fields of the two-dimensional sigma model with background gauge…

Algebraic Topology · Mathematics 2020-08-25 Daniel Berwick-Evans , Arnav Tripathy

We consider a rather simple method for the description of the Big Bang - Big Crunch cosmological singularity crossing. For the flat Friedmann universe this method gives the same results as more complicated methods, using Weyl symmetry or…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Alexander Yu. Kamenshchik , Ekaterina O. Pozdeeva , Sergey Yu. Vernov , Alessandro Tronconi , Giovanni Venturi

Two-dimensional topological field theories possessing a non-abelian current symmetry are constructed. The topological conformal algebra of these models is analysed. It differs from the one obtained by twisting the $N=2$ superconformal…

High Energy Physics - Theory · Physics 2009-10-22 J. M. Isidro , A. V. Ramallo

For massive and conformal quantum field theories in 1+1 dimensions with a global gauge group we consider soliton automorphisms, viz. automorphisms of the quasilocal algebra which act like two different global symmetry transformations on the…

High Energy Physics - Theory · Physics 2015-06-26 Michael Mueger

We construct cocycles in $\mathbb{T} \times SU(2)$ over Diophantine rotations that are minimal and not uniquely ergodic. Such cocycles are dense in an open subset of cocycles over the fixed Diophantine rotation. By a standard argument, they…

Dynamical Systems · Mathematics 2024-12-11 Nikolaos Karaliolios

Multidimensional model describing the "cosmological" and/or spherically symmetric configuration with n+1 Einstein spaces in the theory with several scalar fields and forms is considered. When electro-magnetic composite p-brane ansatz is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. D. Ivashchuk , V. N. Melnikov

An exact class of solutions of the 5D vacuum Einstein field equations (EFEs) is obtained. The metric coefficients are found to be non-separable functions of time and the extra coordinate $l$ and the induced metric on $l$ = constant…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Takao Fukui , Sanjeev S. Seahra , Paul S. Wesson

We construct wormholes in Einstein-vector-Gauss-Bonnet theory where a real massless vector field is coupled to the higher curvature Gauss-Bonnet invariant. We consider three coupling functions which depend on the square of the vector field.…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Simon Barton , Claus Kiefer , Burkhard Kleihaus , Jutta Kunz

This paper is devoted to the analysis of charged superselection sectors in the framework of the locally covariant quantum field theories. We shall analize sharply localizable charges, and use net-cohomology of J.E. Roberts as a main tool.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Romeo Brunetti , Giuseppe Ruzzi

A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this…

High Energy Physics - Theory · Physics 2009-11-07 M. Botta Cantcheff , J. A. Helayël-Neto

In this paper we investigate the Bose-Einstein condensation of massive spin-1 particles in an Einstein universe. The system is considered under relativistic conditions taking into consideration the possibility of particle-antiparticle pair…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. B. Altaie , Ehab Malkawi

We give model-independent arguments, valid in nearly any number of spacetime dimensions, that topological solitons and instantons satisfy Bogomol'nyi-type bounds and, when these bounds are saturated, satisfy self-duality equations. In the…

High Energy Physics - Theory · Physics 2009-10-22 Zvonimir Hlousek , Donald Spector

We formulate and analyze the Hamiltonian dynamics of a pair of massive spinless point particles in (2+1)-dimensional Einstein gravity by anchoring the system to a conical infinity, isometric to the infinity generated by a single massive but…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jorma Louko , Hans-Juergen Matschull

A topological phase can be engineered in quantum physics from the Bloch sphere of a spin-1/2 showing an hedgehog structure as a result of a radial magnetic field. We elaborate on a relation between the formation of an entangled wavefunction…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 Karyn Le Hur

We review particle-like configurations of complex scalar field, localized by gravity, so-called boson stars. In the simplest case, these solutions posses spherical symmetry, they may arise in the massive Einstein-Klein-Gordon theory with…

General Relativity and Quantum Cosmology · Physics 2022-04-14 Yakov Shnir

The present work is devoted to studying the background dynamical evolution of a scalar field in Einstein-Gauss-Bonnet gravity in maximally symmetric space-time. This study is useful for giving meaning to the presence of two Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2023-04-04 M. Bousder , Z Sakhi

Explicit models for the restricted conformal group of the Einstein static universe of dimension greater than two and for its universal covering group are constructed. Based on these models, as an application we determine all oriented and…

Differential Geometry · Mathematics 2021-01-01 Olimjon Eshkobilov , Emilio Musso , Lorenzo Nicolodi

We describe the doubled space of Double Field Theory as a group manifold $G$ with an arbitrary generalized metric. Local information from the latter is not relevant to our discussion and so $G$ only captures the topology of the doubled…

High Energy Physics - Theory · Physics 2018-04-30 Falk Hassler