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gr-qc2022★ 11 cited
General formulae for the periapsis shift of a quasi-circular orbit in static spherically symmetric spacetimes and the active gravitational mass density
Tomohiro Harada, Takahisa Igata, Hiromi Saida +1
We study the periapsis shift of a quasi-circular orbit in general static spherically symmetric spacetimes. We derive two formulae in full order with respect to the gravitational fi…
gr-qc2022★ 20 cited
Periapsis shifts in dark matter distribution around a black hole
Takahisa Igata, Tomohiro Harada, Hiromi Saida +1
We consider the periapsis shifts of bound orbits of stars on static clouds around a black hole. The background spacetime is constructed from a Schwarzschild black hole surrounded b…