scholarly journals Thermodynamical properties of a noncommutative anti–de Sitter–Einstein-Born-Infeld spacetime from gauge theory of gravity

2020 ◽  
Vol 101 (4) ◽  
Author(s):  
Román Linares ◽  
Marco Maceda ◽  
Oscar Sánchez-Santos
Keyword(s):  
Gauge Theory ◽  
De Sitter ◽  
Thermodynamical Properties ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity

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 On torsion-free vacuum solutions of the model of de Sitter gauge theory of gravity

2008 ◽  
Vol 3 (2) ◽  
pp. 191-194 ◽  
Author(s):  
Chao-guang Huang ◽  
Yu Tian ◽  
Xiao-ning Wu ◽  
Han-ying Guo
Keyword(s):  
Gauge Theory ◽  
De Sitter ◽  
Theory Of Gravity ◽  
Vacuum Solutions ◽  
Torsion Free ◽  
Gauge Theory Of Gravity

VIERBEIN IN DE SITTER GAUGE THEORY OF GRAVITY

1989 ◽  
Vol 04 (07) ◽  
pp. 621-628 ◽  
Author(s):  
KIYOSHI KAMIMURA ◽  
TAKESHI FUKUYAMA
Keyword(s):  
Gauge Theory ◽  
Vacuum Solution ◽  
Unit Vector ◽  
Gauge Fields ◽  
Spin Connection ◽  
De Sitter ◽  
Pure Gravity ◽  
Theory Of Gravity ◽  
Vector Formula ◽  
Gauge Theory Of Gravity

In the gauge theory of gravity, SO'(5) gauge fields are shown to be related to vierbein and spin connection by a form of gauge transformation with the transformation matrix parametrized by an S4 unit vector [Formula: see text]. It is understood as the collective coordinate parametrizing the vacuum solution of maximal symmetric space. The action of pure gravity theory is determined uniquely (up to surface term) by the requirement that the pure gauge configuration of SO'(5) gauge fields gives the maximally symmetric solution of the equation of motion, i.e., de Sitter space of constant curvature.

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.

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