Topological black holes and momentum four-vector

Pirinccioglu, Nurettin
Binbay, Figen
Aydogdu, Oktay
We consider the energy momentum definition of the Moller in both general relativity and teleparallel gravity to evaluate the energy distribution (due to both matter and fields including gravitation) associated with the topological black holes with a conformally coupled scalar field. Our results show that the energy depends on the mass M and charge Q of the black holes and cosmological constant Lambda. In some special limits, the expression of the energy reduces to the energy of the well-known spacetimes. The results also support the viewpoint of Lessner that the Moller energy momentum formulation is a powerful concept of the energy momentum. Furthermore, the energy obtained in teleparallel gravity is also independent of the teleparallel dimensionless coupling constants which means that it is valid not only in the teleparallel equivalent of the general relativity but also in any teleparallel model.


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Considering the Moller energy definition in both Einstein's theory of general relativity and tele-parallel theory of gravity, we find the energy of the universe based on viscous Kasner-type metrics. The energy distribution which includes both the matter and gravitational field is found to be zero in both of these different gravitation theories and this result agrees with previous works of Cooperstock and Israelit et al., Banerjee-Sen, Vargas who investigated the problem of the energy in Friedmann-Robertson-...
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Citation Formats
N. Pirinccioglu, F. Binbay, İ. AÇIKGÖZ, and O. Aydogdu, “Topological black holes and momentum four-vector,” MODERN PHYSICS LETTERS A, pp. 1745–1757, 2007, Accessed: 00, 2020. [Online]. Available: