Gravitomagnetic clock effect and extremely accelerated observers

Semerák, O.

doi:10.1088/0264-9381/16/11/402

Cited by 10 publications

(22 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This goes against the naive 'dragging of inertial frames' intuition [2,29,30]. The total angular difference after n full revolutions would then be 6) which is another quantity one might consider measuring. Figure 3 compares the three clock effects for a typical radius in the equatorial plane of Kerr spacetime.…”

Section: Two-clock Clock Effectsmentioning

confidence: 99%

“…The shift fields describe the tilting of the local time and space directions of the slicing and threading observers, respectively, from the time coordinate lines and hypersurfaces. In the slicing point of view the local time direction of the slicing observers is the direction for which the 1-formn ∝ dφ + N φ dt vanishes (equivalent to orthogonality to the angular directionn) 6) which gives the rate of change of angle with respect to time (angular velocity) of the slicing observer worldline following the local time direction. In the threading point of view, the local spatial angular direction (in the local rest space of the threading observer) is the direction for which the 1-form m ∝ dt − M φ dφ vanishes (equivalent to orthogonality to the direction m)…”

Section: Metric Splittingmentioning

confidence: 99%

“…The first inequality is discussed in equations (4.24) and (4.25) of [3], while an explicit formula for the extremely accelerated observer angular velocity has been given by Semerák [6] …”

Section: Other Special Observer Familiesmentioning

confidence: 99%

“…which in the limit r → ∞, together with their coordinate gamma factors, becomė 6) while the null meeting point, geodesic meeting point and extremely accelerated observer angular velocities are…”

mentioning

confidence: 99%

See 3 more Smart Citations

Gravitomagnetism and relative observer clock effects

Bini

Jantzen

Mashhoon

2001

Class. Quantum Grav.

View full text Add to dashboard Cite

The gravitomagnetic clock effect and the Sagnac effect for circularly rotating orbits in stationary axisymmetric spacetimes are studied from a relative observer point of view, clarifying their relationships and the roles played by special observer families. In particular, Semerák's recent characterization of extremely accelerated observers in terms of the two-clock clock effect is shown to be complemented by a similarly special property of the single-clock clock effect.

show abstract

Section: Two-clock Clock Effectsmentioning

confidence: 99%

Section: Metric Splittingmentioning

confidence: 99%

“…The first inequality is discussed in equations (4.24) and (4.25) of [3], while an explicit formula for the extremely accelerated observer angular velocity has been given by Semerák [6] …”

Section: Other Special Observer Familiesmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Gravitomagnetism and relative observer clock effects

Bini

Jantzen

Mashhoon

2001

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…The geometry of the circular orbits and the circular geodesics which give rise to both of these observer families requires preliminary study. The extremely accelerated observers [3,11] also appear in this discussion as the only observers which see the parallel-transport geometry symmetrically for pairs of orbits with equal magnitude but oppositely-signed relative velocities like the circular geodesics themselves.…”

Section: Introductionmentioning

confidence: 82%

Analytical Modeling of Metal Oxide Semiconductor Inversion-Layer Capacitance

Khairurrijal

Miyazaki

Takagi

et al. 1999

Jpn. J. Appl. Phys.

View full text Add to dashboard Cite

Stationary axisymmetric spacetimes containing a pair of oppositely rotating periodically intersecting circular geodesics allow us to study the various socalled 'clock effects' by comparing either observer or geodesic proper time periods of orbital circuits defined by the observer or the geodesic crossing points. This can be extended from a comparison of clocks to a comparison of parallel-transported vectors, leading to the study of special elements of the spacetime holonomy group. The band of holonomy invariance found for a dense subset of special geodesic orbits outside a certain radius in the static case does not exist in the nonstatic case. In the Kerr spacetime the dimensionless frequencies associated with parallel-transport rotations can be expressed as ratios of the proper and average coordinate periods of the circular geodesics. PACS number: 0420C−1/2 ii ∂ i be the orthonormal frame vectors along the time slices (to be referred to as the 'spherical frame'), where i = r, θ, φ. ∂ t and ∂ φ are Killing vector fields associated respectively with stationarity and axisymmetry; ∂ φ has closed orbits φ : 0 → 2π. All considerations below will be limited to the region of spacetime where the one-form dt remains timelike and this lapse-shift decomposition remains valid, namely, outside the (outer) horizon r = r + in the Kerr spacetime, the (outer) surface where N = (−g tt ) −1/2 → 0. Static spacetimes occur as the special case g tφ = 0 = N φ . Explicit values of the various metric quantities for the Kerr spacetime are given in table 1 of [3].

show abstract

Review of the Gravitomagnetic Clock Effect

Iorio,

Mashhoon

2024

Annalen der Physik

View full text Add to dashboard Cite

The general relativistic gravitomagnetic clock effect, in its simplest form, consists of the non‐vanishing difference in the orbital periods of two counter‐orbiting objects moving in opposite directions along circular orbits lying in the equatorial plane of a central rotating source. Both the theoretical and observational aspects of such an intriguing consequence of Einstein's theory of gravitation are reviewed.

show abstract

Gravitomagnetic clock effect and extremely accelerated observers

Abstract: A tight connection is remarked between the gravitomagnetic clock effect, treated by Bonnor and Steadman (1999 Class. Quantum Grav. 16 1853), and the extremely accelerated observers, studied in other recent papers.

Cited by 10 publications

References 14 publications

Gravitomagnetism and relative observer clock effects

Gravitomagnetism and relative observer clock effects

Analytical Modeling of Metal Oxide Semiconductor Inversion-Layer Capacitance

Review of the Gravitomagnetic Clock Effect

Contact Info

Product

Resources

About