Nutzen der Verarbeitung von Krankendaten

Ehlers, Cindy

doi:10.1007/978-3-642-52114-0_6

Cited by 4 publications

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“…The unitary transformation is not the only one which can be used to generate new solutions from old in the Ernst formalism. There is also Ehlers's transformation, of which there are several different versions in the literature [17][18][19][20]. However, we have found that in all these versions (35) is a necessary condition for the removal of the NUT terms in solution II.…”

Section: Appendix a Nut Sources And The Unitary Transformationmentioning

confidence: 82%

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The double-Kerr solution

Bonnor¹,

Steadman²

2004

Class. Quantum Grav.

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The exact double-Kerr solution of Kramer and Neugebauer is analysed by expanding it in powers of the masses m1, m2. For general values of the parameters the solution contains NUT sources and therefore is not flat at spatial infinity. These do not occur (or can be removed) in two special cases: (I) if a1/m1 = a2/m2, where a1, a2 are the angular momenta per unit mass; (II) if a1 + a2 = 0. In case (I) there is present, in addition to the two spinning objects, a massless spinning rod of finite length. The spacetime in this case contains closed timelike curves (CTC) even though the sources are realistic and lie in a compact region. We conclude that, in the absence of an explanation of CTC, general relativity does not give a satisfactory account of this physical system.

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Section: Appendix a Nut Sources And The Unitary Transformationmentioning

confidence: 82%

“…The next step is to write A, B, P , Q, given by ( 18)-( 21), in power series in m s , with the ultimate intention of expressing the metric functions f, w, ν similarly. Here we give the function ξ , calculated from (17), which is the key to the whole solution:…”

Section: Analysis Of the Solutionmentioning

confidence: 99%