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An exact expression derived in the literature for the rate of dragging of inertial frames (Lense-Thirring (LT) precession) in a general stationary spacetime, is reviewed. The exact LT precession frequencies for Kerr, Kerr-Taub-NUT and…

General Relativity and Quantum Cosmology · Physics 2014-03-06 Chandrachur Chakraborty , Parthasarathi Majumdar

General relativity predicts that a rotating body produces a frame-dragging (or Lense-Thirring) effect: the orbital plane of a test particle in a non-equatorial orbit precesses about the body's symmetry axis. In this paper we compute the…

Astrophysics · Physics 2009-10-30 Sharon M. Morsink , Luigi Stella

The exact frame-dragging (or Lense-Thirring (LT) precession) rates for Kerr, Kerr-Taub-NUT (KTN) and Taub-NUT spacetimes have been derived. Remarkably, in the case of the `zero angular momentum' Taub-NUT spacetime, the frame-dragging effect…

General Relativity and Quantum Cosmology · Physics 2016-03-15 Chandrachur Chakraborty

The vertical (Lense-Thirring) precession of the innermost accretion flows has been discussed as a sensitive indicator of the rotational properties of neutron stars (NSs) and their equation of state because it vanishes for a non-rotating…

For stationary axially symmetric spacetimes we find a simple expression for the Lense-Thirring precession in terms of the Ernst potential. This expression is used to compute, in the weak field approximation, the major non-spherical…

General Relativity and Quantum Cosmology · Physics 2008-03-31 Marcelo Zimbres , Patricio S. Letelier

An exact expression of Lense-Thirring precession rate is derived for non-extremal and extremal Pleba\'nski-Demia\'nski spacetimes. This formula is used to find the exact Lense-Thirring precession rate in various axisymmetric spacetimes,…

General Relativity and Quantum Cosmology · Physics 2013-09-02 Chandrachur Chakraborty , Partha Pratim Pradhan

The orbital Lense-Thirring precession is considered in the context of constraints for weak-field General Relativity involving the cosmological constant $\Lambda$. It is shown that according to the current accuracy of satellite measurements…

General Relativity and Quantum Cosmology · Physics 2020-10-06 A. Stepanian , Sh. Khlghatyan

Misaligned accretion disks surrounding rotating compact objects experience a torque due to the Lense-Thirring effect, which leads to precession of the inner disk. It has been suggested that this effect could be responsible for some low…

Astrophysics · Physics 2009-10-31 Philip J. Armitage , Priyamvada Natarajan

We report an incipient exploration of the Lense-Thirring precession effect in a rotating \textit{acoustic analogue black hole} spacetime. An exact formula is deduced for the precession frequency of a gyroscope due to inertial frame…

General Relativity and Quantum Cosmology · Physics 2018-09-03 Chandrachur Chakraborty , Oindrila Ganguly , Parthasarathi Majumdar

The presence of neutron stars in at least three ultraluminous X-ray sources is now firmly established and offers an unambiguous view of super-critical accretion. All three systems show long-timescale periods (60-80 days) in the X-rays…

Exact Lense-Thirring (LT) precession in Kerr-Taub-NUT spacetime is reviewed. It is shown that the LT precession does not obey the general inverse cube law of distance at strong gravity regime in Kerr-Taub-NUT spacetime. Rather, it becomes…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Chandrachur Chakraborty

In this paper, we investigate the properties of the Lense-Thirring precession frequency and periastron precession of the relativistic bound orbits in slowly rotating naked singularity spacetimes. We show that the precession frequencies of a…

General Relativity and Quantum Cosmology · Physics 2021-09-24 Parth Bambhaniya , Jay S. Verma , Dipanjan Dey , Pankaj S. Joshi , Ashok B. Joshi

We calculate, up to the first-order in the black hole spin, the perihelion precession of a test particle in the equatorial plane of a Kerr black hole using the perturbative Laplace-Runge-Lenz (LRL) vector method. To account for the dragging…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Sidney Natzuka Junior

We review the derivation of the metric for a spinning body of any shape and composition using linearized general relativity theory, and also obtain the same metric using a transformation argument. The latter derivation makes it clear that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. J. Adler , A. S. Silbergleit

We study the exact evolution of the orbital angular momentum of a massive particle in the gravitational field of a Kerr black hole. We show analytically that, for a wide class of orbits, the angular momentum's hodograph is always close to a…

General Relativity and Quantum Cosmology · Physics 2019-07-11 Vladimir N. Strokov , Shant Khlghatyan

Testing the effects predicted by the General Theory of Relativity, in its linearized weak field and slow motion approximation, in the Solar System is difficult because they are very small. Among them the post-Newtonian gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Lorenzo Iorio

An elementary pedagogical derivation of the Lense-Thirring precession is given based on the use of Hamilton vector. The Hamilton vector is an extra constant of motion of the Kepler/Coulomb problem related simply to the more popular…

General Relativity and Quantum Cosmology · Physics 2014-11-18 O. I. Chashchina , L. Iorio , Z. K. Silagadze

Observations of accreting black hole (BH) systems, such as microquasars and supermassive black holes, often reveal a precessing jet with changing directions, indicating a misaligned accretion flow relative to the BH spin. The precession is…

High Energy Astrophysical Phenomena · Physics 2025-10-30 Hong-Xuan Jiang , Yosuke Mizuno , Dong Lai , Indu K. Dihingia , Christian M. Fromm

We present a new measurement of the Lense-Thirring effect on the orbits of the geodetic satellites LAGEOS, LAGEOS II and LARES. This secular precession is a general relativity effect produced by the gravitomagnetic field of the Earth…

General Relativity and Quantum Cosmology · Physics 2019-10-07 David M. Lucchesi , Massimo Visco , Roberto Peron , Massimo Bassan , Giuseppe Pucacco , Carmen Pardini , Luciano Anselmo , Carmelo Magnafico

In this paper, we first investigate some aspects of frame dragging in strong gravity. The computations are carried out for the Kerr black hole and for the rotating Janis-Newman-Winicour solution, that is known to have a naked singularity on…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Tathagata Karmakar , Tapobrata Sarkar
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