General Relativity and Relativistic Astrophysics

Straumann, Norbert

doi:10.1007/978-3-642-84439-3

Cited by 396 publications

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“…The final result appeared to be that ds 2 o is necessarily Lorentzian and the second term contains an arbitrary function of a complex variable. I did not check this result, just put the calculations aside.…”

Section: By Roy Patrick Kerrmentioning

confidence: 99%

“…One morning in autumn, 1963, I looked to see if there were more general situations where an AS metric splits in the same way as the Kerr metric does into two parts, ds 2 o + m o k 2 , where ds 2 o is itself an Einstein space (but not necessarily Lorentzian) and m o is an arbitrary constant, i.e. where a first-order approximation is actually exact.…”

Section: By Roy Patrick Kerrmentioning

confidence: 99%

“…This note is meant to be a guide for those readers who wish to verify all the details. 2 We will use the following notation for the tetrad vectors: 3 , e 4 } = {m, m, , k} .…”

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confidence: 99%

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Editorial note to: R. P. Kerr and A. Schild, A new class of vacuum solutions of the Einstein field equations

2009

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The Kerr solution is today textbook material and a basic element of education in relativity. However, derivations of it are not easy to find in the literature-most textbooks and monographs simply quote it as a given thing. There exist several uniqueness theorems (see part 2 of this note) that refer to physical and geometrical properties of the Kerr solution, but none of them gives a hint on how to derive it starting from the EinsteinThe republication of the original paper can be found in this issue following the editorial note and online via

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Section: By Roy Patrick Kerrmentioning

confidence: 99%

Section: By Roy Patrick Kerrmentioning

confidence: 99%

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Editorial note to: R. P. Kerr and A. Schild, A new class of vacuum solutions of the Einstein field equations

2009

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“…The weak field hypothesis is commonly used to neglect the effect on the time of flight, of the bending of the trajectory due to the central mass [9]. This assumption, appropriately choosing the x and y axes, leads to a ray trajectory that is a straight line x = b = const; b is of course the closest approach distance with respect to the spinning body.…”

Section: Weak Field Conditionmentioning

confidence: 99%

Gravitomagnetic Measurement of the Angular Momentum of Celestial Bodies

Tartaglia

Ruggiero

2004

General Relativity and Gravitation

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“…In weak-field approximation the explicit form of the metric can be [11] g tt ≃ c 2 1 − µ r g tφ ≃ µc r a sin 2 θ…”

Section: Preliminariesmentioning

confidence: 99%

Angular Momentum Effects in Michelson–Morley Type Experiments

Tartaglia

Ruggiero

2002

General Relativity and Gravitation

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The effect of the angular momentum density of a gravitational source on the times of flight of light rays in an interferometer is analyzed. The calculation is made imagining that the interferometer is at the equator of an axisymmetric steadily rotating gravity source. In order to evaluate the size of the effect in the case of the Earth a weak field approximation for the metric elements is introduced. For laboratory scales and non-geodesic paths the correction due to the angular momentum turns out to be comparable with the sensitivity expected in gravitational waves interferometric detectors, whereas it drops under the threshold of detectability when using free (geodesic) light rays. PACS number 04.80.C

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General Relativity and Relativistic Astrophysics

Cited by 396 publications

References 0 publications

Editorial note to: R. P. Kerr and A. Schild, A new class of vacuum solutions of the Einstein field equations

Editorial note to: R. P. Kerr and A. Schild, A new class of vacuum solutions of the Einstein field equations

Gravitomagnetic Measurement of the Angular Momentum of Celestial Bodies

Angular Momentum Effects in Michelson–Morley Type Experiments

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