The Seventh Marcel Grossmann Meeting

Jantzen, Robert T.; Keiser, G. Mac

doi:10.1142/9789814533485

Cited by 9 publications

(16 citation statements)

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“…There are various approach to splitting of space-time, and a great work has be done, recently, to describe everything in a common framework, by stressing the connections among the different techniques [62], [63], [64].…”

Section: A Appendix: Space-time Splitting and Cattaneo's Approachmentioning

confidence: 99%

“…Because of the pedagogical aim that we have in writing this paper, we decided to present here a very introductory primer to the original Cattaneo's works on splitting of space-time. After the publication of his works during the 1950's and 1960's, a lot of work has been done, in order to improve his techniques (see [62], [63], [64], and references therein). However, we believe that the foundations of Cattaneo's approach can be understood, in the easiest and most enlightening way, by referring to his original works.…”

Section: A Appendix: Space-time Splitting and Cattaneo's Approachmentioning

confidence: 99%

“…Remark 1 As we have just outlined, the splitting in curved spacetime leads to a non-linear analogy with electromagnetism in flat space-time, which is commonly referred to as "Gravitoelectromagnetism" [62]. Namely, the local fields, due to the "inertial forces" felt by the test observers, are associated to Maxwell-like fields: in particular, a gravito-electric field is associated to the local linear acceleration, while a gravito-magnetic field is associated to local angular acceleration (that is, to local rotation).…”

Section: A11mentioning

confidence: 99%

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The Relativistic Sagnac Effect: Two Derivations

Rizzi

Ruggiero

2004

Relativity in Rotating Frames

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The phase shift due to the Sagnac Effect, for relativistic matter and electromagnetic beams, counter-propagating in a rotating interferometer, is deduced using two different approaches. From one hand, we show that the relativistic law of velocity addition leads to the well known Sagnac time difference, which is the same independently of the physical nature of the interfering beams, evidencing in this way the universality of the effect. Another derivation is based on a formal analogy with the phase shift induced by the magnetic potential for charged particles travelling in a region where a constant vector potential is present: this is the so called Aharonov-Bohm effect. Both derivations are carried out in a fully relativistic context, using a suitable 1+3 splitting that allows us to recognize and define the space where electromagnetic and matter waves propagate: this is an extended 3-space, which we call relative space. It is recognized as the only space having an actual physical meaning from an operational point of view, and it is identified as the 'physical space of the rotating platform': the geometry of this space turns out to be non Euclidean, according to Einstein's early intuition.

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Section: A Appendix: Space-time Splitting and Cattaneo's Approachmentioning

confidence: 99%

Section: A Appendix: Space-time Splitting and Cattaneo's Approachmentioning

confidence: 99%

Section: A11mentioning

confidence: 99%

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The Relativistic Sagnac Effect: Two Derivations

Rizzi

Ruggiero

2004

Relativity in Rotating Frames

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“…Further it has been demonstrated [9] that the form of the GM potential does not depend on the choice of a particular frame or coordinate system used, thus making it physically significant for all material as well as radiative processes. However to measure the effects of this force on a given physical system high accuracy in experiments is required [10].…”

Section: The Gravitelectromagnetic Approximationmentioning

confidence: 99%

Gravitomagnetic Effects on Collective Plasma Oscillations in Compact Stars

Mirza

Saleem

2006

Commun. Theor. Phys.

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The effects of gravitomagnetic force on plasma oscillations are investigated using the kinetic theory of homogeneous electrically neutral plasma in the absence of external electric or magnetic field. The random phase assumption is employed neglecting the thermal motion of the electrons with respect to a fixed ion background. It is found that the gravitomagnetic force reduces the characteristic frequency of the plasma thus enhancing the refractive index of the medium. The estimates for the predicted effects are given for a typical white dwarf, pulsar, and neutron star.

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“…Usually these effects are not directly observable but are manifest in an indirect way, for example via interaction with the magnetic field, in the accretion of matter, and other material and radiative processes occurring in vicinity of the star. An investigation of these effects is not only of interest for astrophysical processes but is also important for testing the general theory of relativity [4].…”

Section: Introductionmentioning

confidence: 99%

General Relativistic Shift in Plasma Frequency due to a Slowly Rotating Compact Star

Mirza

2008

Int J Theor Phys

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We investigate the effects of a slowly rotating compact gravitational source on plasma oscillations using the gravitoelectromagnetic approximation to the general theory of relativity. It is shown that there is a shift in the plasma frequency and hence in the refractive index of the plasma due to the gravitomagnetic force. Estimates for the difference in frequency of radially transmitted electromagnetic signals are given for typical compact star candidates. The proposed shift provides a new test of general theory of relativity in the slow rotation approximation.

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The Seventh Marcel Grossmann Meeting

Cited by 9 publications

References 0 publications

The Relativistic Sagnac Effect: Two Derivations

The Relativistic Sagnac Effect: Two Derivations

Gravitomagnetic Effects on Collective Plasma Oscillations in Compact Stars

General Relativistic Shift in Plasma Frequency due to a Slowly Rotating Compact Star

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