Energy and Momentum Densities Associated with Solutions Exhibiting Directional Type Singularities

Abstract

We obtain the energy and momentum densities of a general static axially symmetric vacuum space-time described by the Weyl metric, using Landau-Lifshitz and Bergmann-Thomson energy-momentum complexes. These two definitions of the energy-momentum complex do not provide the same energy density for the space-time under consideration, while give the same momentum density. We show that, in the case of Curzon metric which is a particular case of the Weyl metric, these two definitions give the same energy only when $R\to \infty$. Furthermore, we compare these results with those obtained using Einstein, Papapetrou and Møller energy momentum complexes.

10 pages, references added, minor corrections [Admin note: substantial overlap with gr-qc/0403097 , gr-qc/0403039 ]

References in corpus (4)

• Energy distribution in a BTZ black hole spacetime
• Energy and Momentum Distributions of a (2+1)-dimensional black hole background
• Energy and momentum associated with a Static Axially Symmetric Vacuum Space-Time
• Energy Distribution of a Gödel-Type Space-Time

Cited by in corpus (12)

• Energy distribution in the dyadosphere of a Reissner-Nordstrom black hole in Moller's prescription
• Bergmann-Thomson energy-momentum complex for solutions more general than the Kerr-Schild class
• Energy and momentum of Bianchi Type VI_h Universes
• On the energy of charged black holes in generalized dilaton-axion gravity
• The Energy of Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• On the energy of Hořava-Lifshitz black holes
• Moeller's Energy-Momentum Complex for a Spacetime Geometry on a Noncommutative Curved D3-Brane
• Energy and Momentum densities of cosmological models, with equation of state $\rho =\mu$, in general relativity and teleparallel gravity
• Energy and Momentum Distributions of Kantowski and Sachs Space-time
• Møller Energy-Momentum Complex of a Static Axially Symmetric Vacuum Space-Time
• Energy Distribution of a Regular Class of Exact Black Hole Solutions
• Gravitational Energy in Van Stockum Space-Time