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Distribution of Energy-Momentum in a Schwarzschild-Quintessence Space-Time Geometry

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Abstract

An analysis of the energy-momentum localization for a four-dimensional Schwarzschild black hole surrounded by dark energy in the form of quintessence is presented in order to provide expressions for the distributions of energy and momentum. The calculations are performed by using the Landau–Lifshitz and the Weinberg energy-momentum complexes. It is shown that all the momenta vanish, while the expression for the energy depends on the mass M of the black hole, the state parameter w q and the normalization factor c. The special case of \(w_{q}=-\frac{2}{3}\) is studied and some limiting cases are examined.

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Authors and Affiliations

  1. Department of Physics, “Gh. Asachi” Technical University, Iasi, 700050, Romania

    Irina Radinschi

  2. Department of Civil Engineering, University of Thessaly, 383 34, Volos, Greece

    Theophanes Grammenos

  3. School of Applied Mathematics and Physical Sciences, National Technical University of Athens, 157 80, Athens, Greece

    Andromahi Spanou

Authors
  1. Irina Radinschi
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  2. Theophanes Grammenos
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  3. Andromahi Spanou
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Correspondence to Irina Radinschi.

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Radinschi, I., Grammenos, T. & Spanou, A. Distribution of Energy-Momentum in a Schwarzschild-Quintessence Space-Time Geometry. Int J Theor Phys 52, 4100–4109 (2013). https://doi.org/10.1007/s10773-013-1724-y

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  • DOI: https://doi.org/10.1007/s10773-013-1724-y

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