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We investigate the conservation law of energy-momentum in teleparallel gravity by using general Noether theorem. The energy-momentum current has also superpotential and is therefore identically conserved. The total energy-momentum, which…

General Relativity and Quantum Cosmology · Physics 2007-08-27 Yu-Xiao Liu , Zhen-Hua Zhao , Jie Yang , Yi-Shi Duan

This work is devoted to analyze the energy of the Universe in the context of f(T) theories. Such theories are the analogous counterpart of the well known f(R) theories that, however, uses torsion instead of curvature. We obtain a general…

General Relativity and Quantum Cosmology · Physics 2013-12-05 S. C. Ulhoa , E. P. Spaniol

The lack of a well-established solution for the gravitational energy problem might be one of the reasons why a clear road to quantum gravity does not exist. In this paper, the gravitational energy is studied in detail with the help of the…

General Relativity and Quantum Cosmology · Physics 2023-08-25 J. B. Formiga , João Duarte

In 1994, Miguel Alcubierre proposed that the well-known special relativistic limitation that particles cannot travel with velocities higher than light speed can be bypassed when such trips are considered globally within specific general…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Osvaldo L. Santos-Pereira

A suitable derivative of Einstein's equations in the framework of the teleparallel equivalent of general relativity (TEGR) yields a continuity equation for the gravitational energy-momentum. In particular, the time derivative of the total…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. W. Maluf , F. F. Faria

Energy conservation has the status of a fundamental physical principle. However, measurements in quantum mechanics do not comply with energy conservation. Therefore, it is expected that a more fundamental theory of gravity -- one that is…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Y. Bonder , J. E. Herrera , A. M. Rubiol

The Alcubierre warp drive metric is a spacetime construction where a massive particle located inside a spacetime distortion, called warp bubble, travels at velocities arbitrarily higher than the velocity of light. This theoretically…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Osvaldo L. Santos-Pereira , Everton M. C. Abreu , Marcelo B. Ribeiro

The Alcubierre metric describes a spacetime geometry that allows a massive particle inside a spacetime distortion, called warp bubble, to travel with superluminal global velocities. In this work we advance solutions of the Einstein…

General Relativity and Quantum Cosmology · Physics 2021-09-06 Osvaldo L. Santos-Pereira , Everton M. C. Abreu , Marcelo B. Ribeiro

It can be shown that negative energy requirements within the Alcubierre spacetime can be greatly reduced when one introduces a lapse function into the Einstein tensor. Thereby reducing the negative energy requirements of the warp drive…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Loup , D. Waite , E. Halerewicz

We present a method to calculate the gravitational energy when asymptotic boundary conditions for the space-time are not given. This is the situation for most of the cosmological models. The expression for the gravitational energy is…

General Relativity and Quantum Cosmology · Physics 2010-10-18 S. C. Ulhoa , J. F. da Rocha Neto , J. W. Maluf

The Alcubierre warp drive allows a spaceship to travel at an arbitrarily large global velocity by deforming the spacetime in a bubble around the spaceship. Little is known about the interactions between massive particles and the Alcubierre…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Brendan McMonigal , Geraint F. Lewis , Philip O'Byrne

I show how a minor modification of the Alcubierre geometry can dramatically improve the total energy requirements for a `warp bubble' that can be used to transport macroscopic objects. A spacetime is presented for which the total negative…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Chris Van Den Broeck

The main scope of this research consists in evaluating the energy-momentum (gravitational field plus matter) and gravitational angular momentum densities in the universe with global rotation, considering the Godel-Obukhov metric. For this,…

General Relativity and Quantum Cosmology · Physics 2010-03-19 A. A. Sousa , R. B. Pereira , A. C. Silva

We consider how the energy can be stored in the boundary of spacetime, in particular in a spherical bubble that can be made by a quantum gravitational process. Our calculation is performed within the framework of classical Einstein gravity…

High Energy Physics - Theory · Physics 2023-02-23 Yu Hamada , Nobuyuki Matsumoto

In a well-known paper arXiv:gr-qc/0003100 V.C. de Andrade, L. C. T. Guillen and J.G. Pereira defined a conserved gauge current, however they stated that: `` This is, we believe the farthest one can go in the direction of a tensorial…

General Relativity and Quantum Cosmology · Physics 2009-07-10 Mariano Hermida de La Rica

In the timescape scenario cosmic acceleration is understand as an apparent effect, due to gravitational energy gradients that grow when spatial curvature gradients become significant with the nonlinear growth of cosmic structure. This…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-14 David L. Wiltshire

In the context of the Teleparallel Equivalent of General Relativity (TEGR) one can obtain an alternative insight into General Relativity, as has been shown in addressing properties as energy, momentum and angular momentum of the…

General Relativity and Quantum Cosmology · Physics 2018-06-11 K. H. C. Castello-Branco , J. F. da Rocha-Neto

Static observers remain on Killing-vector world lines and measure the rest-mass+kinetic energies of particles moving past them, and the flux of that mechanical energy through space and time. The total mechanical energy is the total flux…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Joseph Katz , Donald Lynden-Bell , Jiri Bicak

This paper elaborates the problem of energy-momentum in the framework of teleparallel equivalent of General Relativity. For this purpose, we consider energy-momentum prescription derived from the integral form of the constraint equations…

General Relativity and Quantum Cosmology · Physics 2010-01-07 M. Sharif , Sumaira Taj

We analyze the energy configuration of a charged black hole in the Teleparallel Framework of General Relativity. We obtain the energy-momentum tensor of the gravitational field in a stationary frame, and we calculate its contribution to the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Luciano Combi , Gustavo E. Romero
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