On the gravitational effects of rotating masses: The Thirring-Lense papers

Mashhoon, Bahram; Hehl, Friedrich W.; Theiss, Dietmar S.

doi:10.1007/bf00762913

Cited by 259 publications

(129 citation statements)

References 34 publications

Supporting

Mentioning

122

Contrasting

Order By: Relevance

“…In this work we are especially interested in the case P α hid = 0 (⇒ E hid = 0), so that m + T = constant; i.e., the energy exchange, due to the action of the force 10 The reason for such denominations is that, in the electromagnetic setups herein (the magnet in Fig. 3b, the spinning/non-spinning charges of Secs.…”

Section: Electromagnetismmentioning

confidence: 99%

See 1 more Smart Citation

Spacetime dynamics of spinning particles: Exact electromagnetic analogies

2016

View full text Add to dashboard Cite

We compare the rigorous equations describing the motion of spinning test particles in gravitational and electromagnetic fields, and show that if the Mathisson-Pirani spin condition holds then exact gravito-electromagnetic analogies emerge. These analogies provide a familiar formalism to treat gravitational problems, as well as a means for comparing the two interactions. Fundamental differences are manifest in the symmetries and time projections of the electromagnetic and gravitational tidal tensors. The physical consequences of the symmetries of the tidal tensors are explored comparing the following analogous setups: magnetic dipoles in the field of non-spinning/spinning charges, and gyroscopes in the Schwarzschild, Kerr, and Kerr-de Sitter spacetimes. The implications of the time projections of the tidal tensors are illustrated by the work done on the particle in various frames; in particular, a reciprocity is found to exist: in a frame comoving with the particle, the electromagnetic (but not the gravitational) field does work on it, causing a variation of its proper mass; conversely, for "static observers", a stationary gravitomagnetic (but not a magnetic) field does work on the particle, and the associated potential energy is seen to embody the Hawking-Wald spin-spin interaction energy. The issue of hidden momentum, and its counterintuitive dynamical implications, is also analyzed. Finally, a number of issues regarding the electromagnetic interaction and the physical meaning of Dixon's equations are clarified.

show abstract

Section: Electromagnetismmentioning

confidence: 99%

“…[3][4][5][8][9][10][11], who pointed out that the spin vector of a gyroscope at rest in a stationary field evolves as d S/dt = K S × H. This formula is similar to the formula for the precession of a magnetic dipole in a magnetic field, d S/dt = µ × B. The analogy was later cast in exact forms in e.g.…”

mentioning

confidence: 99%

Spacetime dynamics of spinning particles: Exact electromagnetic analogies

2016

View full text Add to dashboard Cite

show abstract

“…To go beyond the GEM analogy, let us explore the significance of the terms that have been neglected in equation (9). The geodesic equation for a particle with proper time τ and four-velocity…”

Section: Motion In a Gem Fieldmentioning

confidence: 99%

Beyond Gravitoelectromagnetism: Critical Speed in Gravitational Motion

Mashhoon

2005

Int. J. Mod. Phys. D

Self Cite

View full text Add to dashboard Cite

A null ray approaching a distant astronomical source appears to slow down, while a massive particle speeds up in accordance with Newtonian gravitation. The integration of these apparently incompatible aspects of motion in general relativity is due to the existence of a critical speed. Dynamics of particles moving faster than the critical speed could then be contrary to Newtonian expectations. Working within the framework of gravitoelectromagnetism, the implications of the existence of a critical speed are explored. The results are expected to be significant for high energy astrophysics.

show abstract

“…After that, there were found other effects, related with the phase shift of interfering particles. Among them the effect due to the rotation of the Earth [8,9], which is the quantum mechanical analog of the Sagnac effect, and the Lense-Thirring effect [10] which is a general relativistic effect due to the dragging of the reference frames. So we do not consider the neutron spin in this paper In the paper [11] a unified way of study of the effects of phase shift in neutron interferometer due to the various phenomena was proposed.…”

Section: Introductionmentioning

confidence: 99%

Quantum Interference Effects in Spacetime of Slowly Rotating Compact Objects in Braneworld

2010

View full text Add to dashboard Cite

The phase shift a neutron interferometer caused by the gravitational field and the rotation of the earth is derived in a unified way from the standpoint of general relativity. General relativistic quantum interference effects in the slowly rotating braneworld as the Sagnac effect and phase shift effect of interfering particle in neutron interferometer are considered. It was found that in the case of the Sagnac effect the influence of brane parameter is becoming important due to the fact that the angular velocity of the locally non rotating observer must be larger than one in the Kerr space-time. In the case of neutron interferometry it is found that due to the presence of the parameter Q * an additional term in the phase shift of interfering particle emerges from the results of the recent experiments we have obtained upper limit for the tidal charge as Q * 10 7 cm 2 . Finally, as an example, we apply the obtained results to the calculation of the (ultra-cold neutrons) energy level modification in the braneworld.

show abstract

On the gravitational effects of rotating masses: The Thirring-Lense papers

Cited by 259 publications

References 34 publications

Spacetime dynamics of spinning particles: Exact electromagnetic analogies

Spacetime dynamics of spinning particles: Exact electromagnetic analogies

Beyond Gravitoelectromagnetism: Critical Speed in Gravitational Motion

Quantum Interference Effects in Spacetime of Slowly Rotating Compact Objects in Braneworld

Contact Info

Product

Resources

About