On the uniqueness of the space-time energy in General Relativity: the illuminating case of the Schwarzschild metric
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On the uniqueness of the space-time energy in General Relativity: the illuminating case of the Schwarzschild metric

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On the uniqueness of the space-time energy in General Relativity: the illuminating case of the Schwarzschild metric

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Lapiedra Civera, Ramón; Morales Lladosa, Juan Antonio
This document is a artículoDate2013

Este documento está disponible también en : http://hdl.handle.net/10550/68502
The case of asymptotic Minkowskian space-times is considered. A special class of asymptotic rectilinear coordinates at the spatial infinity, related to a spe- cific system of free falling observers, is chosen. This choice is applied in particular to the Schwarzschild metric, obtaining a vanishing energy for this space-time. This result is compared with the result of some known theorems on the uniqueness of the energy of any asymptotic Minkowskian space, showing that there is no contradiction between both results, the differences becoming from the use of coordinates with dif- ferent operational meanings. The suitability of Gauss coordinates when defining an intrinsic energy is considered and it is finally concluded that a Schwarzschild metric is a particular case of space-times with vanishing intrinsic 4-momenta.

    Lapiedra Civera, Ramón Morales Lladosa, Juan Antonio 2013 On the uniqueness of the space-time energy in General Relativity: the illuminating case of the Schwarzschild metric General Relativity and Gravitation 45 2 1145 1161
https://doi.org/10.1007/s10714-013-1515-z

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