TY - JOUR
T1 - Relativistic effects due to gravimagnetic moment of a rotating body
AU - Ramírez, Walberto Guzmán
AU - Deriglazov, Alexei A.
PY - 2017/12/15
Y1 - 2017/12/15
N2 - We compute the exact Hamiltonian (and corresponding Dirac brackets) for a spinning particle with gravimagnetic moment κ in an arbitrary gravitational background. The case κ=0 corresponds to the Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations. κ=1 leads to modified MPTD equations with improved behavior in the ultrarelativistic limit. So we study the modified equations in the leading post-Newtonian approximation. The rotating body with unit gravimagnetic moment has qualitatively different behavior as compared with the MPTD body: (A) If a number of gyroscopes with various rotation axes are freely traveling together, the angles between the axes change with time. (B) For specific binary systems, gravimagnetic moment gives a contribution to the frame-dragging effect with the magnitude that turns out to be comparable with that of Schiff frame dragging.
AB - We compute the exact Hamiltonian (and corresponding Dirac brackets) for a spinning particle with gravimagnetic moment κ in an arbitrary gravitational background. The case κ=0 corresponds to the Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations. κ=1 leads to modified MPTD equations with improved behavior in the ultrarelativistic limit. So we study the modified equations in the leading post-Newtonian approximation. The rotating body with unit gravimagnetic moment has qualitatively different behavior as compared with the MPTD body: (A) If a number of gyroscopes with various rotation axes are freely traveling together, the angles between the axes change with time. (B) For specific binary systems, gravimagnetic moment gives a contribution to the frame-dragging effect with the magnitude that turns out to be comparable with that of Schiff frame dragging.
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U2 - 10.1103/PhysRevD.96.124013
DO - 10.1103/PhysRevD.96.124013
M3 - Article
AN - SCOPUS:85040182286
VL - 96
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 12
M1 - 124013
ER -