scholarly journals Application of Sturm's theorem to marginal stable circular orbits of a test body in spherically symmetric and static spacetimes

2015 ◽  
Vol 111 (3) ◽  
pp. 30008 ◽  
Author(s):  
Toshiaki Ono ◽  
Tomohito Suzuki ◽  
Naomasa Fushimi ◽  
Kei Yamada ◽  
Hideki Asada
Keyword(s):  
Test Body ◽  
Spherically Symmetric ◽  
Circular Orbits

scholarly journals Spherically Symmetric Configurations in General Relativity in the Presence of a Linear Massive Scalar Field: Separation of a Distribution of Test Body Circular Orbits

2019 ◽  
Vol 64 (3) ◽  
pp. 189 ◽  
Author(s):  
O. S. Stashko ◽  
V. I. Zhdanov
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Scalar Fields ◽  
Test Body ◽  
Einstein Equations ◽  
Strength Parameter ◽  
Spherically Symmetric ◽  
Massive Scalar ◽  
Circular Orbits ◽  
Massive Scalar Field

We study static spherically symmetric configurations in the presence of linear massive scalar fields within General Relativity. Static solutions of the Einstein equations are considered under conditions of asymptotic flatness. Each solution is fixed by the configuration mass and the field strength parameter, which are defined at spatial infinity. The metric coefficients and the scalar field for a specific configuration are obtained numerically. Then we study the time-like geodesics describing the test particle motion. The focus is on the distribution of stable circular orbits (SCOs) of the test particles around a configuration. We found that, for the continuum of configuration parameters, there exist two unlinked regions of SCOs that are separated by some annular region, where SCOs do not exist.

Equivalence principle for charged bodies in a theory of gravitation

1981 ◽  
Vol 59 (11) ◽  
pp. 1730-1733 ◽  
Author(s):  
R. B. Mann ◽  
J. W. Moffat
Keyword(s):  
Equivalence Principle ◽  
Maxwell Equations ◽  
Test Body ◽  
Spherically Symmetric ◽  
Point Particles ◽  
Symmetric Field ◽  
Static Spherically Symmetric Metric ◽  
Theory Of Gravitation ◽  
Spherically Symmetric Metric

The motion of a test body made of electromagnetically interacting point particles, falling in the static spherically symmetric field of the Hermitian theory of gravitation is shown to not disagree with the Eötvös–Dicke–Braginsky experiments for the equivalence principle. The modified Maxwell equations are calculated in the isotropic static spherically symmetric metric, and the role of the equivalence principle in the new theory is discussed in detail.

scholarly journals Motion of spinning particles in non asymptotically flat spacetimes

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Bobir Toshmatov ◽  
Ozodbek Rahimov ◽  
Bobomurat Ahmedov ◽  
Daniele Malafarina
Keyword(s):  
Vacuum Energy ◽  
Spherically Symmetric ◽  
Combined Effects ◽  
Circular Orbits ◽  
Spinning Particles ◽  
Asymptotically Flat ◽  
Asymptotic Flatness ◽  
Test Particles ◽  
Cosmological Context ◽  
Flat Spacetimes

Abstract The assumption of asymptotic flatness for isolated astrophysical bodies may be considered an approximation when one considers a cosmological context where a cosmological constant or vacuum energy is present. In this framework we study the motion of spinning particles in static, spherically symmetric and asymptotically non-flat spacetimes with repulsive cosmological vacuum energy and quintessential field. Due to the combined effects of gravitational attraction and cosmological repulsion, the region where stable circular orbits are allowed is restricted by an innermost and an outermost stable circular orbits. We show that taking into account the spin of test particles may enlarge or shrink the region of allowed stable circular orbits depending on whether the spin is co-rotating or counter-rotating with the angular momentum of the particles.

scholarly journals THE STABILITY OF QUASI-CIRCULAR ORBITS NEAR THE CENTRAL BODY

2020 ◽  
Vol 70 (2) ◽  
pp. 155-159
Author(s):  
М.Е. Abishev ◽  
◽  
С. Тоktarbay ◽  
А.Z. Таlkhat ◽  
A.Zh. Abylayeva ◽  
...  
Keyword(s):  
Circular Orbit ◽  
Stability Problem ◽  
Central Body ◽  
Equations Of Motion ◽  
Test Body ◽  
Circular Orbits ◽  
The Stability ◽  
The Hill

In the problem of relational bounded three bodies, the stability of quasicircular orbits close to the central body was investigated. In the case when it is not relational, the orbits of the test body can be described through the Hill surfaces. The location of the central body corresponds to the origin, the second body moves in a circular orbit that is around the central (first) body. The equations of motion of the problem of bounded, relational three bodies were investigated for circular orbits. Using these equations of relational motion, the stability problem of the relational quasicircular orbits of the test body in regions close to the central body was investigated.

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