Generating solutions to the Einstein field equations
Ioannis ContopoulosResearch Center for Astronomy and Applied Mathematics, Academy of Athens, 115 27 Athens, GreeceFrancesco EspositoDepartment of Physics, University of Cincinnati, 45269 Ohio, USAK. KleidisDepartment of Mechanical Engineering, Technological Education Institute of Central Macedonia, 621 24 Serres, GreeceD. PapadopoulosDepartment of Physics, Aristotle University of Thessaloniki, 541 24 Thessaloniki, GreeceLouis WittenDepartment of Physics, University of Florida, 32611-8440 Florida, USA
2015en
ABI
Аннотация
Exact solutions to the Einstein field equations may be generated from already existing ones (seed solutions), that admit at least one Killing vector. In this framework, a space of potentials is introduced. By the use of symmetries in this space, the set of potentials associated to a known solution is transformed into a new set, either by continuous transformations or by discrete transformations. In view of this method, and upon consideration of continuous transformations, we arrive at some exact, stationary axisymmetric solutions to the Einstein field equations in vacuum, that may be of geometrical or/and physical interest.
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