Approximate gravitational field of a rotating deformed mass

Details Approximate gravitational field of a rotating deformed mass Approximate gravitational field of a rotating deformed mass

2006-01-26

arxiv.org/abs/gr-qc/0601113v1

Gen.Rel.Grav. 38 (2006) 871-884

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages. Latex. To appear in General Relativity and Gravitation

Scientific paper

10.1007/s10714-006-0269-2

A new approximate solution of vacuum and stationary Einstein field equations is obtained. This solution is constructed by means of a power series expansion of the Ernst potential in terms of two independent and dimensionless parameters representing the quadrupole and the angular momentum respectively. The main feature of the solution is a suitable description of small deviations from spherical symmetry through perturbations of the static configuration and the massive multipole structure by using those parameters. This quality of the solution might eventually provide relevant differences with respect to the description provided by the Kerr solution.

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