Fetching the paper…
Reading the bibliography…
The precession of a test gyroscope along unbound equatorial plane geodesic orbits around a Kerr black hole is analyzed with respect to a static reference frame whose axes point towards the "fixed stars." The accumulated precession angle after a complete scattering process is evaluated and compared with the corresponding change in the orbital angle.
H. Thirring, “Über die Wirkung rotierender ferner Massen in der Einsteinschen Gravitationstheorie (On the Effect of Rotating Distant Masses in Einstein’s Theory of Gravitation),” Phys. Zeit. 19
1918
Earlier work this paper cites.
J. Lense and H. Thirring, “Über den Einfluss der Eigenrotation der Zentralkörper auf die Bewegung der Planeten und Monde nach der Einsteinschen Gravitationstheorie (On the Influence of the Proper Rotation of Central Bodies on the Motions of Planets and Moons According to Einstein’s Theory of Gravitation),” Phys. Zeit. 19
1918
Earlier work this paper cites.
H. Thirring, “Berichtigung zu meiner Arbeit: ‘Über die Wirkung rotierender Massen in der Einsteinschen Gravitationstheorie’ (Correction to my paper ”On the Effect of Rotating Distant Masses in Einstein’s Theory of Gravitation”),” Phys. Zeit. 22
1921
Earlier work this paper cites.
L. H. Thomas, “The motion of a spinning electron,” Nature 117
1926
Earlier work this paper cites.
L. H. Thomas, “The Kinematics of an electron with an axis,” Phil. Mag. 3
1927
Earlier work this paper cites.
W. H. Furry, “Lorentz Transformation and the Thomas Precession,” Am. J. Phys. 23, 517 (1955)
1955
Earlier work this paper cites.
L. I. Schiff “Motion of a gyroscope according to Einstein’s theory of gravitation,” Proc. Nat. Acad. Sci. 46
1960
Earlier work this paper cites.
David Shelupsky, “Derivation of the Thomas Precession Formula,” Am. J. Phys. 35, 650 (1967)
1967
Earlier work this paper cites.
B. Carter, “Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations,” Commun. Math. Phys. 10
1968
Earlier work this paper cites.
G. P. Fisher, “The Thomas Precession,” Am. J. Phys. 40, 1772 (1972)
1972
Earlier work this paper cites.
C. W. Misner, K. S. Thorne and J. A. Wheeler, “Gravitation,” San Francisco 1973
1973
Earlier work this paper cites.
G. H. Goedecke, “Geometry of the Thomas precession,” Am. J. Phys. 46, 1055 (1978)
1978
Earlier work this paper cites.
J.A. Marck, “Parallel-tetrad on null geodesics in Kerr-Newman space-time,” Phys. Lett. A 97
1983
Earlier work this paper cites.
S. Chandrasekhar, “The mathematical theory of black holes,” Oxford, Clarendon, UK, 1985
1985
Earlier work this paper cites.
N. Kamran and J.A. Marck, “Parallel-propagated frame along the geodesics of the metrics admitting a KillingYano tensor,” J. Math. Phys. 27
1986
Cited alongside, same era.
D. Han, Y. S. Kim and D. Son, “Thomas Precession, Wigner Rotations, and Gauge Transformations,” Class. Quant. Grav. 4
1987
Cited alongside, same era.
E. P. Wigner, “On Unitary Representations of the Inhomogeneous Lorentz Group,” Annals Math. 40
1989
Cited alongside, same era.
W. Rindler and V. Perlick, “Rotating coordinates as tools for calculating circular geodesics and gyroscopic precession,” Gen. Relativ. Grav. 22
1991
Cited alongside, same era.
R. T. Jantzen, P. Carini and D. Bini, “The many faces of gravitoelectromagnetism,” Ann. Phys. 215
1992
Cited alongside, same era.
K. Glampedakis and D. Kennefick, “Zoom and whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction,” Phys. Rev. D 66
2002
Later among the works it cites.
D. Bini and R. T. Jantzen, “Circular holonomy, clock effects and gravitoelectromagnetism: Still going around in circles after all these years,” Nuovo Cim. B 117
2003
Later among the works it cites.
J. A. Rhodes and M. D. Semon, “Relativistic velocity space, Wigner rotation and Thomas precession,” Am. J. Phys. 72
2004
Later among the works it cites.
J. R. Gair, D. J. Kennefick and S. L. Larson, “Semi-relativistic approximation to gravitational radiation from encounters with black holes,” Phys. Rev. D 72
2006
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
D. Bini, P. Carini and R.T. Jantzen, “Applications of Gravitoelectromagnetism to Rotating Spacetimes,” J. Korean Phys. Soc. 25, S190 (1992)
1992
Cited alongside, same era.
B. R. Iyer and C. V. Vishveshwara, “The Frenet-Serret description of gyroscopic precession,” Phys. Rev. D 48
1993
Cited alongside, same era.
D. Bini, P. Carini, R.T. Jantzen, D. Wilkins, “Thomas precession in post-Newtonian gravitoelectromagnetism,” Phys. Rev. D 49
1994
Cited alongside, same era.
D. Bini, P. Carini and R. T. Jantzen, “The intrinsic derivative and centrifugal forces in general relativity. 2. Applications to circular orbits in some familiar stationary axisymmetric space-times,” Int. J. Mod. Phys. D 6
1997
Cited alongside, same era.
D. Bini, P. Carini and R. T. Jantzen, “The intrinsic derivative and centrifugal forces in general relativity. 1. Theoretical foundations,” Int. J. Mod. Phys. D 6
1997
Cited alongside, same era.
R. Ferraro and M. Thibeault, “Generic composition of boosts: an elementary derivation of the Wigner rotation,” Eur. J. Phys. 20
1999
Cited alongside, same era.
D. Bini, R.T. Jantzen and A. Merloni, “Geometric interpretation of the Frenet-Serret frame description of circular orbits in stationary axisymmetric spacetimes,” Class. Quantum Grav. 16
1999
Cited alongside, same era.
2009
Later among the works it cites.
F. de Felice and D. Bini, “Classical Measurements in Curved Space-Times,” Cambridge University Press, Cambridge, 2010
2010
Later among the works it cites.
D. Bini and A. Geralico, “Spin-geodesic deviations in the Kerr spacetime,” Phys. Rev. D 84
2011
Later among the works it cites.
2014
Later among the works it cites.
C. W. F. Everitt, et al, “Focus issue: Gravity Probe B,” Class. Quant. Grav. 32
2015
Later among the works it cites.
2015
Later among the works it cites.
2016
Closest in time.
2016
Closest in time.
D. Bini and A. Geralico, “Scattering by a Schwarzschild black hole of particles undergoing drag force effects,” Gen. Rel. Grav. 48
2016
Closest in time.