scholarly journals Detweiler’s redshift invariant for spinning particles along circular orbits on a Schwarzschild background

2018 ◽  
Vol 97 (10) ◽  
Author(s):  
Donato Bini ◽  
Thibault Damour ◽  
Andrea Geralico ◽  
Chris Kavanagh
Keyword(s):  
Circular Orbits ◽  
Spinning Particles ◽  
Schwarzschild Background

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.

CHARGED SPINNING PARTICLES ON CIRCULAR ORBITS IN THE REISSNER–NORDSTRÖM SPACE–TIME

2005 ◽  
Vol 14 (10) ◽  
pp. 1793-1811 ◽  
Author(s):  
DONATO BINI ◽  
ANDREA GERALICO ◽  
FERNANDO DE FELICE
Keyword(s):  
Equatorial Plane ◽  
Space Time ◽  
Circular Orbits ◽  
Spinning Particles ◽  
Arrival Times ◽  
Opposite Charge ◽  
Test Particles

The behavior of charged spinning test particles moving along circular orbits in the equatorial plane of the Reissner–Nordström space–time is studied in the framework of the Dixon–Souriau model completed with standard choices of supplementary conditions. The gravitomagnetic "clock effect," i.e. the delay in the arrival times of two oppositely circulating particles as measured by a static observer, is derived and discussed in the cases in which the particles have equal/opposite charge and spin, the latter being directed along the z-axis.

About the influence of second zonal harmonic on the motion of satellite in almost circular orbits

2019 ◽  
Vol 25 (2) ◽  
pp. 3-11
Author(s):  
A.V. Pirozhenko ◽  
◽  
A.I. Maslova ◽  
V.V. Vasilyev ◽  
◽  
...  
Keyword(s):  
Circular Orbits ◽  
Zonal Harmonic
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