Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-04-25
J.Phys.Conf.Ser. 8 (2005) 23-27
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Talk given in the 11th Conference on Recent Developments in Gravity, 2-5 June 2004, Lesbos, Greece
Scientific paper
10.1088/1742-6596/8/1/003
The scope of this talk is to present some preliminary results on an effort, currently in progress, to generate an exact solution of Einstein's equation, suitable for describing spacetime around a rotating compact object. Specifically, the form of the Ernst potential on the symmetry axis and its connection with the multipole moments is discussed thoroughly. The way to calculate the multipole moments of spacetime directly from the value of the Ernst potential on the symmetry axis is presented. Finally, a mixed ansatz is formed for the Ernst potential including parameters additional to the ones dictated by Sibgatullin. Thus, we believe that this talk can also serve as a comment on choosing the appropriate ansatz for the Ernst potential.
Pappas Giorgos
Sotiriou Thomas P.
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