Thursday, November 1, 2012

1210.8308 (Ramon Lapiedra et al.)

The non uniqueness of the space-time energy in General Relativity. The
illuminating case of the Schwarzschild metric
   [PDF]

Ramon Lapiedra, Juan Antonio Morales-Lladosa
We consider the case of asymptotically Minkowskian space-times, showing that, even using rectilinear coordinates in spatial infinity, the energy of such space-times is not uniquely defined. We show this in detail in the case of the Schwarzschild metric whether, or not, its radius source is larger than the Schwarzschild radius, making a supplementary reference to the Reissner-Nordstr$\ddot{\rm o}$m metric. We explain such an absence of uniqueness in a very natural way and compare it with some known statements and theorems which apparently seem to be in contradiction with it. The suitability of Gauss coordinates when defining a proper energy is considered and it is finally concluded, in a natural approach, that a Schwarzschild metric is a particular case of a creatable universe.
View original: http://arxiv.org/abs/1210.8308

No comments:

Post a Comment