scholarly journals Rotating Kerr-Newman space-times in metric-affine gravity

2022 ◽  
Vol 2022 (01) ◽  
pp. 011
Author(s):  
Sebastian Bahamonde ◽  
Jorge Gigante Valcarcel
Keyword(s):  
Angular Momentum ◽  
Gauge Theory ◽  
Cosmological Constant ◽  
Electromagnetic Fields ◽  
Spin Angular Momentum ◽  
De Sitter ◽  
Sitter Solution ◽  
Cartan Geometries ◽  
Gauge Theory Of Gravity ◽  
Affine Gravity

Abstract We present new rotating vacuum configurations endowed with both dynamical torsion and nonmetricity fields in the framework of Metric-Affine gauge theory of gravity. For this task, we consider scalar-flat Weyl-Cartan geometries and obtain an axisymmetric Kerr-Newman solution in the decoupling limit between the orbital and the spin angular momentum. The corresponding Kerr-Newman-de Sitter solution is also compatible with a cosmological constant and additional electromagnetic fields.

scholarly journals DE SITTER SPACETIME WITH TORSION AS PHYSICAL SPACETIME IN THE VACUUM AND ISOTROPIC COSMOLOGY

2011 ◽  
Vol 26 (04) ◽  
pp. 259-266 ◽  
Author(s):  
A. V. MINKEVICH
Keyword(s):  
Gauge Theory ◽  
Cosmological Constant ◽  
General Expression ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Isotropic Cosmology ◽  
Physical Consequences ◽  
Physical Spacetime ◽  
Gauge Theory Of Gravity

Homogeneous isotropic models with two torsion functions built in the framework of the Poincaré gauge theory of gravity (PGTG) based on general expression of gravitational Lagrangian without cosmological constant are analyzed. It is shown that the physical spacetime in the vacuum in the framework of PGTG can have the structure of flat de Sitter spacetime with torsion. Some physical consequences of obtained conclusion are discussed.

scholarly journals GAUGE THEORY OF GRAVITY WITH DE SITTER SYMMETRY AS A SOLUTION TO THE COSMOLOGICAL CONSTANT PROBLEM AND THE DARK ENERGY PUZZLE

2010 ◽  
Vol 25 (33) ◽  
pp. 2795-2803 ◽  
Author(s):  
PISIN CHEN
Keyword(s):  
Dark Energy ◽  
Field Equation ◽  
Gauge Theory ◽  
Cosmological Constant ◽  
Vacuum Energy ◽  
Radius Of Curvature ◽  
Quantum Vacuum ◽  
De Sitter ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity

We propose a solution to the longstanding cosmological constant (CC) problem which is based on the fusion of two existing concepts. The first is the suggestion that the proper description of classical gravitational effects is the gauge theory of gravity in which the connection instead of the metric acts as the dynamical variable. The resulting field equation does not then contain the CC term. This removes the connection between the CC and the quantum vacuum energy, and therefore addresses the old CC problem of why quantum vacuum energy does not gravitate. The CC-equivalent in this approach arises from the constant of integration when reducing the field equation to the Einstein equation. The second is the assumption that the universe obeys de Sitter symmetry, with the observed accelerating expansion as its manifestation. We combine these ideas and identify the constant of integration with the inverse-square of the radius of curvature of the de Sitter space. The origin of dark energy (DE) is therefore associated with the inherent spacetime geometry, with the smallness of DE protected by symmetry. This addresses the new CC problem, or the DE puzzle. This approach, however, faces major challenges from quantum considerations. These are the ghost problem associated with higher order gravity theories and the quantum instability of the de Sitter spacetime. We discuss their possible remedies.

scholarly journals A CHERN–SIMONS E8 GAUGE THEORY OF GRAVITY IN D = 15, GRAND UNIFICATION AND GENERALIZED GRAVITY IN CLIFFORD SPACES

2007 ◽  
Vol 04 (08) ◽  
pp. 1239-1257 ◽  
Author(s):  
CARLOS CASTRO
Keyword(s):  
Gauge Theory ◽  
Grand Unification ◽  
De Sitter ◽  
Sitter Group ◽  
Yang Mills ◽  
Theory Of Gravity ◽  
M Theory ◽  
Chern Simons ◽  
Topological Part ◽  
Gauge Theory Of Gravity

A novel Chern–Simons E8 gauge theory of gravity in D = 15 based on an octicE8 invariant expression in D = 16 (recently constructed by Cederwall and Palmkvist) is developed. A grand unification model of gravity with the other forces is very plausible within the framework of a supersymmetric extension (to incorporate spacetime fermions) of this Chern–Simons E8 gauge theory. We review the construction showing why the ordinary 11D Chern–Simons gravity theory (based on the Anti de Sitter group) can be embedded into a Clifford-algebra valued gauge theory and that an E8 Yang–Mills field theory is a small sector of a Clifford (16) algebra gauge theory. An E8 gauge bundle formulation was instrumental in understanding the topological part of the 11-dim M-theory partition function. The nature of this 11-dim E8 gauge theory remains unknown. We hope that the Chern–Simons E8 gauge theory of gravity in D = 15 advanced in this work may shed some light into solving this problem after a dimensional reduction.

scholarly journals DYNAMICALLY BROKEN ANTI-DE SITTER ACTION FOR GRAVITY

2008 ◽  
Vol 05 (02) ◽  
pp. 171-183 ◽  
Author(s):  
ROMUALDO TRESGUERRES
Keyword(s):  
Gauge Theory ◽  
Cosmological Constant ◽  
Higgs Sector ◽  
Higgs Mechanism ◽  
De Sitter ◽  
Gravitational Action ◽  
Curvature And Torsion

Due to a suitable Higgs mechanism, a standard Anti-de Sitter gauge theory becomes spontaneously broken. The resulting Lorentz invariant gravitational action includes the Hilbert–Einstein term of ordinary Einstein–Cartan gravity with cosmological constant, plus contributions quadratic in curvature and torsion, and a scalar Higgs sector.

scholarly journals ENERGY DISTRIBUTION OF BLACK PLANE SOLUTIONS

2006 ◽  
Vol 21 (06) ◽  
pp. 495-502 ◽  
Author(s):  
PAUL HALPERN
Keyword(s):  
Energy Distribution ◽  
Cosmological Constant ◽  
Electric Charge ◽  
Maxwell Equations ◽  
De Sitter ◽  
Plane Symmetric ◽  
Sitter Solution ◽  
Static Plane ◽  
Momentum Complex ◽  
Black Plane

We use the Einstein energy–momentum complex to calculate the energy distribution of static plane-symmetric solutions of the Einstein–Maxwell equations in 3+1 dimensions with asymptotic anti-de Sitter behavior. This solution is expressed in terms of three parameters: the mass, electric charge and cosmological constant. We compare the energy distribution to that of the Reissner–Nordström–anti-de Sitter solution, pointing to qualitative differences between the models. Finally, we examine these results within the context of the Cooperstock hypothesis.

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