scholarly journals Total Conserved Charges of Lense-Thirring Spacetime in Gravity Theory with Diffeomorphism and Local Lorentz Symmetry

2012 ◽  
Vol 128 (4) ◽  
pp. 767-783
Author(s):  
G. G. L. Nashed
Keyword(s):  
Lorentz Symmetry ◽  
Gravity Theory ◽  
Conserved Charges ◽  
Total Conserved Charges

scholarly journals Total Conserved Charges of Kerr-Newman Spacetimes in Gravity Theory Using a Poincaré Gauge Version of the Teleparallel Equivalent of General Relativity

2013 ◽  
Vol 2013 ◽  
pp. 1-16
Author(s):  
Gamal G. L. Nashed
Keyword(s):  
General Relativity ◽  
Angular Momentum ◽  
Vector Field ◽  
Gravity Theory ◽  
Arbitrary Vector ◽  
Conserved Charges ◽  
Conserved Currents ◽  
Total Conserved Charges

The total conserved charges of several tetrad spacetimes, generating the Kerr-Newman (KN) metric, are calculated using the approach of invariant conserved currents generated by an arbitrary vector field that reproduces a diffeomorphism on the spacetime. The accompanying charges of some tetrads give the known value of energy and angular momentum, while those of other tetrads give, in addition to the unknown format charges, a divergent entity. Therefore, regularized expressions are considered also to get the commonly known form of conserved charges of KN.

scholarly journals Collision Space-Time.  Unified Quantum Gravity. Gravity is Lorentz Symmetry Break Down at the Planck Scale

2019 ◽  
Author(s):  
Espen Haug
Keyword(s):  
Wave Equation ◽  
Quantum Gravity ◽  
Planck Scale ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Gravity Theory ◽  
Relativistic Wave Equation ◽  
Relativistic Energy ◽  
Modern Physics ◽  
Heisenberg Uncertainty

We have recently presented a unified quantum gravity theory [1]. Here we extend on that work and present an even simpler version of that theory. For about hundred years, modern physics has not been able to build a bridge between quantum mechanics and gravity. However, a solution may be found here; we present our quantum gravity theory, which is rooted in indivisible particles where matter and gravity are related to collisions and can be described by collision space-time. In this paper, we also show that we can formulate a quantum wave equation rooted in collision space-time, which is equivalent to mass and energy.The beauty of our theory is that most of the main equations that currently exist in physics are not changed (in terms of predictions), except at the Planck scale. The Planck scale is directly linked to gravity and gravity is, surprisingly, actually a Lorentz symmetry as well as a form of Heisenberg uncertainty break down at the Planck scale. Our theory gives a dramatic simplification of many physics formulas without altering the output predictions. The relativistic wave equation, the relativistic energy momentum relation, and Minkowski space can all be represented by simpler equations when we understand mass at a deeper level. This not attained at a cost, but rather a reflection of the benefit in having gravity and electromagnetism unified under the same theory.

scholarly journals Gödel solution in the bumblebee gravity

2015 ◽  
Vol 30 (02) ◽  
pp. 1550011 ◽  
Author(s):  
A. F. Santos ◽  
W. D. R. Jesus ◽  
J. R. Nascimento ◽  
A. Yu. Petrov
Keyword(s):  
Symmetry Breaking ◽  
Lorentz Symmetry ◽  
Gravity Theory ◽  
Lorentz Symmetry Breaking

Here, we consider a gravity theory involving a spontaneous Lorentz symmetry breaking called the bumblebee model. We show that, at certain values of the bumblebee field, the Gödel metric is consistent within this theory.

scholarly journals FIELD THEORY ON κ-MINKOWSKI SPACE REVISITED: NOETHER CHARGES AND BREAKING OF LORENTZ SYMMETRY

2008 ◽  
Vol 23 (18) ◽  
pp. 2687-2718 ◽  
Author(s):  
LAURENT FREIDEL ◽  
JERZY KOWALSKI-GLIKMAN ◽  
SEBASTIAN NOWAK
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Minkowski Space ◽  
Lorentz Invariance ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Field Equations ◽  
Conserved Charges ◽  
Lorentz Scalar ◽  
Free Scalar

This paper is devoted to detailed investigations of free scalar field theory on κ-Minkowski space. After reviewing necessary mathematical tools, we discuss in detail the Lagrangian and solutions of field equations. We analyze the space–time symmetries of the model and construct the conserved charges associated with translational and Lorentz symmetries. We show that the version of the theory usually studied breaks Lorentz invariance in a subtle way: there is an additional trans-Planckian mode present, and an associated conserved charge (the number of such modes) is not a Lorentz scalar.

scholarly journals A new formula for conserved charges of Lovelock gravity in AdS space–times and its generalization

2020 ◽  
Vol 35 (20) ◽  
pp. 2050102 ◽  
Author(s):  
Jun-Jin Peng ◽  
Hui-Fa Liu
Keyword(s):  
Curvature Tensor ◽  
Invariant Theory ◽  
Gravity Theory ◽  
De Sitter ◽  
Riemann Curvature ◽  
Riemann Curvature Tensor ◽  
Lovelock Gravity ◽  
Conserved Charges ◽  
Rank Tensor ◽  
New Formula

Within the framework of the Lovelock gravity theory, we propose a new rank-four divergenceless tensor consisting of the Riemann curvature tensor and inheriting its algebraic symmetry characters. Such a tensor can be adopted to define conserved charges of the Lovelock gravity theory in asymptotically anti-de Sitter (AdS) space–times. Besides, inspired with the case of the Lovelock gravity, we put forward another general fourth-rank tensor in the context of an arbitrary diffeomorphism invariant theory of gravity described by the Lagrangian constructed out of the curvature tensor. On basis of the newly-constructed tensor, we further suggest a Komar-like formula for the conserved charges of this generic gravity theory.

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