International Journal of Theoretical Physics

, Volume 53, Issue 5, pp 1654–1665 | Cite as

Energy and Momentum of Robinson-Trautman Space-Times

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Abstract

Robinson and Trautman space-times are studied in the context of teleparallel equivalent of general relativity (TEGR). These space-times are the simplest class of asymptotically flat geometries admitting gravitational waves. We calculate the total energy for such space-times using two methods, the gravitational energy-momentum and the translational momentum 2-form. The two methods give equal results of these calculations. We show that the value of energy depends on the gravitational mass M, the Gaussian curvature of the surfaces λ(u,θ) and on the function K(u,θ). The total energy reduces to the energies of Schwarzschild’s and Bondi’s space-times under specific forms of the function K(u,θ).

Keywords

Robinson and Trautman spacetimes Energy Momentum 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Center for Theoretical PhysicsBritish University in EgyptSherouk CityEgypt
  2. 2.Mathematics Department, Faculty of ScienceAin Shams UniversityCairoEgypt

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