Moller's four-momentum of electric and magnetic black holes

2007-10-01
Binbay, Figen
Pirinccioglu, Nurettin
Salti, Mustafa
Aydogdu, Oktay
In order to evaluate energy and momentum components associated with two different black hole models, i.e. the electric and magnetic black holes, we use the Moller energy-momentum prescriptions both in Einstein's theory of general relativity and the teleparallel gravity. We obtain the same energy and momentum distributions in both of these different gravitation theories. The energy distribution of the electric black hole depends on the mass M and the magnetic black hole energy distribution depends on the mass M and charge Q. In the process, we notice that (a) the energy obtained in teleparallel gravity is also independent of the teleparallel dimensionless coupling parameter, which means that it is valid not only in teleparallel equivalent of general relativity but also in any teleparallel model, (b) our results also sustains the importance of the energy-momentum definitions in the evaluation of the energy distribution of a given spacetime, and (c) the results obtained support the viewpoint of Lessner that the Moller energy-momentum complex is a powerful concept of energy and momentum.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Suggestions

On the Moller energy associated with black holes
Salti, Mustafa; Aydogdu, Oktay (Springer Science and Business Media LLC, 2006-12-01)
In this paper, we consider both Einstein's theory of general relativity and the teleparallel gravity (the tetrad theory of gravitation) analogs of the energy-momentum definition of Moller in order to explicitly evaluate the energy distribution (due to matter and fields including gravity) associated with a general black hole model which includes several well-known black holes. To calculate the special cases of energy distribution, here we consider eight different types of black hole models such as anti-de Si...
Moller's energy in the dyadosphere of a charged black hole
Aydogdu, Oktay; Salti, Mustafa (Springer Science and Business Media LLC, 2006-08-01)
We use the Moller energy-momentum complex both in general relativity and teleparallel gravity to evaluate energy distribution (due to matter plus fields including gravity) in the dyadosphere region for Reissner-Nordstrom black hole. We found the same and acceptable energy distribution in these different approaches of the Moller energy-momentum complex. Our teleparallel. gravitational result is also independent of the teleparallel dimensionless coupling constant, which means that it is valid in any teleparal...
Neutrino oscillations induced by spacetime torsion
Adak, M; Dereli, T; Ryder, LH (IOP Publishing, 2001-04-21)
The gravitational neutrino oscillation problem is studied by considering the Dirac Hamiltonian in a Riemann-Cartan spacetime and calculating the dynamical phase. Torsion contributions which depend on the spin direction of the mass eigenstates are found. These effects are of the order of Planck scales.
The momentum four-vector in Brans-Dicke wormholes
Pirinccioglu, Nurettin; Acikgoez, Irfan; Salti, Mustafa (Springer Science and Business Media LLC, 2007-05-01)
In this work, in order to compute energy and momentum distributions (due to matter plus fields including gravitation) associated with the Brans-Dicke wormhole solutions we consider Moller's energy-momentum complexes both in general relativity and the teleparallel gravity, and the Einstein energy-momentum formulation in general relativity. We find exactly the same energy and momentum in three of the formulations. The results obtained in teleparallel gravity is also independent of the teleparallel dimensionle...
Event horizon detecting invariants
Tavlayan, Aydın; Tekin, Bayram (American Physical Society (APS), 2020-04-14)
Some judiciously chosen local curvature scalars can be used to invariantly characterize event horizons of black holes inD > 3 dimensions, but they fail for the three dimensional Banados-Teitelboim-Zanelli (BTZ) black hole since all curvature invariants are constant. Here we provide an invariant characterization of the event horizon of the BTZ black hole using the curvature invariants of codimension one hypersurfaces instead of the full spacetime. Our method is also applicable to black holes in generic dimen...
Citation Formats
F. Binbay, N. Pirinccioglu, M. Salti, and O. Aydogdu, “Moller’s four-momentum of electric and magnetic black holes,” INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, pp. 2339–2350, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67457.