2015
DOI: 10.1103/physrevd.92.024029
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Isofrequency pairing of spinning particles in Schwarzschild–de Sitter spacetime

Abstract: It has been established in Schwarzschild spacetime (and more generally in Kerr spacetime) that pairs of geometrically different timelike geodesics with the same radial and azimuthal frequencies exist in the strong field regime. The occurrence of this socalled isofrequency pairing is of relevance in view of gravitational-wave observations. In this paper we generalize the results on isofrequency pairing in two directions. Firstly, we allow for a (positive) cosmological constant, i.e., we replace the Schwarzschil… Show more

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Cited by 12 publications
(20 citation statements)
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“…The physical effects of the spingravity interaction in Kerr's spacetime are presented in [14][15][16][17][18] (more full bibliography can be found in [19,20] and in other papers). In some recent publications the MP equations are studied for the Schwarzschild-de Sitter spacetime [21][22][23][24].…”
Section: Introductionmentioning
confidence: 99%
“…The physical effects of the spingravity interaction in Kerr's spacetime are presented in [14][15][16][17][18] (more full bibliography can be found in [19,20] and in other papers). In some recent publications the MP equations are studied for the Schwarzschild-de Sitter spacetime [21][22][23][24].…”
Section: Introductionmentioning
confidence: 99%
“…Note that the existence of the separatrix plays an important role for occurrence of these dual orbits in this isofrequency scenario. Considering the singular curve and the circular orbit duals in the particular region of the gravitational object is particularly important, and the COD can also play an important role due to the fact that as a boundary region allowing to keep pairs of isofrequency orbits that exist in this region [24][25][26].…”
Section: Isofrequency Pairing Orbits In Black String Spectime Geometrymentioning
confidence: 99%
“…It turns out that the surface of allowed region where isofrequency pairing orbits occur decreases as a consequence of the presence of the external magnetic field. It was later extended to the spinning particles in the Schwarzschild-de Sitter spacetime [26]. In the present paper, we consider isofrequency pairing of geodesic orbits around black string spacetime geometry, as shown by the line element in [29].…”
Section: Introductionmentioning
confidence: 99%
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“…The motion of spinning particles in the Schwarzschild-de Sitter spacetime has been studied before in [48,49]. Here we will present a more detailed analysis, to gain some general insight on different non asymptotically flat spacetimes.…”
Section: Spinning Particle In the Schwarzschild-de Sitter Spacetimementioning
confidence: 99%