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Thermal properties and Stability of Reissner Nordström solutions | | Gamal G.L. Nashed
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11 Dec 2003 | | Subject: | gr-qc | | Abstract: | We give an exact two different solutions of the gravitational and electromagnetic field with charged source in teleparallel theory. The solutions have two parameters M, q and they give the Reissner Nordstr$ddot{o}$m metric spacetime. The singularities of the two solutions have been discussed. It is shown that in spite that the two solutions reproduce the same metric spacetime the behavior of the singularities of both solutions are quite different. The condition of stability of the two solutions is derived. We then, calculated the energy associated with these two solutions using the superpotential given by M{o}ller (1978). We find that unless the time-space components of the tetrad field go to zero faster than $ displaystyle{1 over sqrt{r}}$ at infinity, the two solutions give different results. This fact implies that the time-space components of the tetrad must vanish faster than $displaystyle{1 over sqrt{r}}$ at infinity. We proof that such type of solution which behaves like $displaystyle {1 over sqrt{r}}$ does not have all the properties required for any consistence energy-momentum density. | | Source: | arXiv, gr-qc/0401041 | | Services: | Forum | Review | PDF | Favorites | |
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