Kinnersley Metric: Details, Form, Reference?

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Discussion Overview

The discussion revolves around the Kinnersley metric, its relation to the Vaidya metric, and the lack of detailed references in existing literature. Participants explore whether the Kinnersley metric is a generalization of the Vaidya metric that includes angular momentum or if it represents a different concept altogether. The conversation includes references to specific texts and personal research efforts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether the Kinnersley metric is a generalization of the Vaidya metric to include angular momentum, seeking clarification and references.
  • Another participant mentions that the metric is known as Kinnersley's relativistic rocket and suggests that it can be found through online searches.
  • A participant confirms understanding of the Kinnersley photon rocket and expresses intent to conduct further research.
  • A reference to section 19.5.2 "Kinnersley's rocket" in the book "Exact Space-Times in Einstein's General Relativity" is provided, noting that a specific condition leads to a reduction to the Vaidya–(anti-)de Sitter spacetime.
  • One participant expresses gratitude for the reference but indicates a lack of access to the book, showing interest in obtaining it for further study.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of the Kinnersley metric, with some suggesting it is related to the Vaidya metric while others provide references for further exploration. The discussion remains unresolved regarding the specific characteristics and implications of the Kinnersley metric.

Contextual Notes

The discussion highlights a lack of detailed references in existing literature, particularly in the context of the Kinnersley metric and its relationship to the Vaidya metric. There are also indications of varying levels of access to relevant texts among participants.

Markus Hanke
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In the Wiki article about the Vaidya metric :

http://en.wikipedia.org/wiki/Vaidya_metric

there is mention of a "further generalisation" called the Kinnersley metric, without giving any details or even a reference. Is this a generalisation of the Vaidya metric to include angular momentum ( i.e. a radiating Kerr or Kerr-Newman solution ), or is it something different ? Does anyone have a link to the specific form of the Kinnersley metric ?

I am really just curious, and somewhat disappointed about the poor quality of this particular Wiki page, and its lack of referenced sources.
 
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The metric is known as Kinnersley's relativistic rocket. You can easily google it.
 
The Kinnersley photon rocket. Got it, and will do my own research into it. Thank you :)
 
See the interesting discussion in section 19.5.2 "Kinnersley's rocket" from the excellent book "Exact Space-Times in Einstein's General Relativity" by Jerry B. Griffits and Jiri Podolsky.

If ##\alpha = 0##, the metric (19.54) reduces to the Vaidya–(anti-)de Sitter spacetime
expressed in the form (19.51).
 
Thank you George Jones for the reference - unfortunately I do not own a copy of this text, but I will see what I can do to track down this book at a reasonable cost. Seems like a worthwhile investment !
 

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