Periastron shift in Weyl class spacetimes

Details Periastron shift in Weyl class spacetimes Periastron shift in Weyl class spacetimes

2005-02-14

arxiv.org/abs/gr-qc/0502062v1

Gen.Rel.Grav. 37 (2005) 1263-1276

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear on General Relativity and Gravitation, vol. 37, 2005

Scientific paper

10.1007/s10714-005-0109-9

The periastron position advance for geodesic motion in axially symmetric solutions of the Einstein field equations belonging to the Weyl class of vacuum solutions is investigated. Explicit examples corresponding to either static solutions (single Chazy-Curzon, Schwarzschild and a pair of them), or stationary solution (single rotating Chazy-Curzon and Kerr black hole) are discussed. The results are then applied to the case of S2-SgrA$^*$ binary system of which the periastron position advance will be soon measured with a great accuracy.

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