The gravitational energy-momentum tensor and the gravitational pressure
arXiv:gr-qc/0504077 · doi:10.1002/andp.200510161
Abstract
In the framework of the teleparallel equivalent of general relativity it is possible to establish the energy-momentum tensor of the gravitational field. This tensor has the following essential features: (1) it is identified directly in Einstein's field equations; (2) it is conserved and traceless; (3) it yields expressions for the energy and momentum of the gravitational field; (4)it is free of second (and highest) derivatives of the field variables; (5) the gravitational and matter energy-momentum tensors take place in the field equations on the same footing; (6) it is unique. However, it is not symmetric. We show that the spatial components of this tensor yield a consistent definition of the gravitational pressure.
16 pages, Latex file. Two references added. Revised in view of Referee's comments. Accepted by Annalen der Physik
References in corpus (2)
Cited by in corpus (41)
- f(T) teleparallel gravity and cosmology
- The teleparallel equivalent of general relativity
- Teleparallel Palatini theories
- On the hadron mass decomposition
- On reference frames in spacetime and gravitational energy in freely falling frames
- Conformally invariant teleparallel theories of gravity
- Charged Dilaton, Energy, Momentum and Angular-Momentum in Teleparallel Theory Equivalent to General Relativity
- Stationary Axisymmetric Solutions and their Energy Contents in Teleparallel Equivalent of Einstein Theory
- Brane World black holes in Teleparallel Theory Equivalent to General Relativity and their Killing vectors, Energy, Momentum and Angular-Momentum
- The angular momentum of the gravitational field and the Poincare group
- Is Teleparallel Gravity really equivalent to General Relativity?
- Hamiltonian formulation of unimodular gravity in the teleparallel geometry
- The Gravitational Energy Problem for Cosmological Models in Teleparallel Gravity
- The energy-momentum of plane-fronted gravitational waves in the teleparallel equivalent of GR
- Gravitational pressure on event horizons and thermodynamics in the teleparallel framework
- Energy Contents of Some Non-Vacuum Spacetimes in Teleparallel Gravity
- Scattering of Fermions by Gravitons
- On the gravitational angular momentum of rotating sources
- On the Gravitational Energy-Momentum Vector in f(T) Theories
- On FRW Model in Conformal Teleparallel Gravity
- The Teleparallel Equivalent of General Relativity and the Gravitational Centre of Mass
- Conformal Teleparallel Theories and Weyl Geometry
- On Teleparallel Quantum Gravity in Schwarzschild Space-Time
- On Gravitational Energy in Conformal Teleparallel Gravity
- Neutron Stars in Teleparallel Gravity
- On the Quantization of the Charge-Mass Ratio
- On Gravitational Entropy of de Sitter Universe
- Gravitational energy, gravitational pressure, and the thermodynamics of a charged black hole in teleparallel gravity
- Bondi-Sachs energy-momentum and the energy of gravitational radiation
- An Extension of Teleparallelism and the Geometrization of the Electromagnetic Field
- Teleparallel formalism of galilean gravity
- Spherically symmetric charged black hole in conformal teleparallel equivalent of general relativity
- Charged (A)dS black hole solutions in conformal teleparallel equivalent of general relativity
- Gravitational Pressure, apparent horizon and thermodynamics of FLRW universe in the teleparallel gravity
- Gravitational energy of a magnetized Schwarzschild black hole - a teleparallel approach
- Gravitational waves and the breaking of parallelograms in space-time
- On the Energy-Momentum Flux in Gödel-type Models
- On Special Re-quantization of a Black Hole
- On Non-commutative Corrections of Gravitational Energy in Teleparallel Gravity
- Gravitational radiation of accelerated sources
- On Gravitational Casimir Effect and Stefan-Boltzmann Law at Finite Temperature