Marginally stable circular orbit of a test body in spherically symmetric and static spacetimes

Ono, Toshiaki; Suzuki, Tomohito; Fushimi, Naomasa; Yamada, Kazutaka; Asada, Hideki

doi:10.48550/arxiv.1410.6265

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Computation Of Precession Angle In Bbmb Spacetime Using Hpm1

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2023

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“…where e ∈ (0, 1) is the orbital eccentricity. Now consider the HPM solution of the equation (24). For this purpose, we suppose the following homotopy…”

Section: Computation Of Precession Angle In Bbmb Spacetime Using Hpmmentioning

confidence: 99%

On the light deflection and perihelion precession by BBMB black holes in HPM approximation

Shchigolev

2023

Int. J. Sci. World

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In this paper, the homotopy perturbation method (HPM) is applied for calculating the weak deflection angle and the perihelion precession angle of planetary orbits in the gravitational field of Bocharova-Bronnikov-Melnikov-Bekenstein (BBMB) black hole. Follow the procedure of HPM, we obtain the approximate solutions for the null and time-like geodesics in the gravitational field of BBMB black hole. On the basis of these solutions and the general formulae for the angle of deflection and the perihelion precession angle, derived by the author earlier via HPM, the corresponding angles for the BBMB black hole are obtained and compared with the similar angles in Schwarzschild spacetime. Notably that if the deflection angle obtained in this article using the HPM confirms the results of other researchers, then the perihelion precession angle obtained here for the first time can be compared with those known for a classical non-rotating static black hole.

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“…where e ∈ (0, 1) is the orbital eccentricity. Now consider the HPM solution of the equation (24). For this purpose, we suppose the following homotopy…”

Section: Computation Of Precession Angle In Bbmb Spacetime Using Hpmmentioning

confidence: 99%

On the light deflection and perihelion precession by BBMB black holes in HPM approximation

Shchigolev

2023

Int. J. Sci. World

View full text Add to dashboard Cite

show abstract

Marginally stable circular orbit of a test body in spherically symmetric and static spacetimes

Cited by 1 publication

References 1 publication

On the light deflection and perihelion precession by BBMB black holes in HPM approximation

On the light deflection and perihelion precession by BBMB black holes in HPM approximation

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