Some examples of different descriptions of energy-momentum density in the context of Bianchi IX cosmological model
arXiv:1202.4768 · doi:10.1007/s12648-012-0131-1
Abstract
Based on the Bianchi type IX metric, we calculate the energy and momentum density components of the gravitational field for the five different definitions of energy-momentum, namely, Tolman, Papapetrou, Landau-Lifshitz, Møller and Weinberg. The energy densities of Møller and Weinberg become zero for the spacetime under consideration. In the other prescriptions, i.e., Tolman, Papapetrou and Landau-Lifshitz complexes, we find different non-vanishing energy-momentum densities for the given spacetime, supporting the well-known argument in General Relativity that the different definitions may lead to different distributions even in the same spacetime background.
arXiv comment11 pages, no figure, typos corrected, accepted for publication in Indian J. Phys
References in corpus (21)
- Naked singularities and Seifert's conjecture
- Energy and angular momentum of charged rotating black holes
- A conformal scalar dyon black hole solution
- Energy and momentum of cylindrical gravitational waves. II
- Møller Energy for the Kerr-Newman metric
- Møller energy of the nonstatic spherically symmetric metrics
- Energy associated with charged dilaton black holes
- Energy distribution of charged dilaton black holes
- Tolman's energy of a stringy charged black hole
- Mixmaster universe in Horava-Lifshitz gravity
- Energy and Momentum of a Class of Rotating Gravitational Waves
- The Instabilities of Bianchi Type IX Einstein Static Universes
- Bergmann-Thomson energy-momentum complex for solutions more general than the Kerr-Schild class
- Energy-momentum Distribution in Static and Non-static Cosmic String Space-times
- Exact solutions of Einstein and Einstein-scalar equations in 2 + 1 dimensions
- Bianchi Type-II String Cosmological Models in Normal Gauge for Lyra's Manifold with Constant Deceleration Parameter
- Energy Distribution in f(R) Gravity
- The Energy-Momentum Problem in General Relativity
- Quantum Einstein-Dirac Bianchi Universes
- Quantum Geometrodynamics of the Bianchi IX cosmological model
- Dynamics of Anisotropic Universes