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Cited by 62Relativity and Gravitational TheoryPulsars and Gravitational Waves ResearchBlack Holes and Theoretical Physics

The DOI matches its Crossref record; 3 of the 4 references it cites were found in a registry or an index.

On colliding waves in the Einstein—Maxwell theory

Chandrasekhar, Subrahmanyan, Xanthopoulos, Basilis C.·1985·Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
DOI 10.1098/rspa.1985.0033
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Abstract

An exact solution of the Einstein—Maxwell equations is obtained that represents a space-time which describes consistently the collision between two plane impulsive gravitational waves, each supporting an electromagnetic shock-wave. In obtaining the solution, the relationship, which had been established earlier, between the solutions describing stationary black-holes and solutions describing colliding plane-waves, is extended to the Einstein-Maxwell equations (and exploited). The case when the colliding waves are parallelly polarized is analysed in detail to exhibit the singularities and the discontinuities that occur on the null boundaries characteristic of this problem. It is found that the passage of the waves, prior to collision, produces a spray of gravitational and electromagnetic radiation and the collision results in the scattering and the focusing of the waves and the development of a space—time singularity. The solution that is obtained avoids in a natural way certain conceptual difficulties (such as the occurrence of the ‘square root’ of a δ-function and current sheets) that had been anticipated.

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Crossref · 10.1098/rspa.1985.0033

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3 of 3 references verified0 citation errors · 0 not checkable

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Show all 4 references

Research works printed but not linked: 8

  1. Chandrasekhar S. 1983 The mathematical theory of black holes (referred to as M.T.). Oxford: Clarendon Press.
  2. Chandrasekhar S. & Ferrari V. 1984 Proc. R. Soc. Lond. A 3 9 6 55-74.
  3. Ehlers J. 1957 Dissertation. University of Hamburg.
  4. Harrison B. K., 1968, J. math, Phys., 9, 1744
  5. Khan K., 1971, Nature, Lond., 22, 9
  6. Pirani F. A. E. 1964 In Brandeis Lectures on General Relativity pp. 269- 275. New Jersey: Prentice-Hall.
  7. Szekeres P., 1970, Nature, Lond., 22, 8
  8. Szekeres P., 1972, J. math, Phys., 13, 286

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Metadata

Authors
Chandrasekhar, S., & Xanthopoulos, B. C.
Affiliations
  • University of Chicago (US)
  • University of Crete (GR)
Venue
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
Publisher
The Royal Society
Published
1985-04-09
Volume
398
Issue
1815
Pages
223-259
ISSN
  • 0080-4630 (ISSN-L)
  • 2053-9169
DOI
10.1098/rspa.1985.0033
OpenAlex
W2167772722
Cited by
59
References
4
Citations by year
2024: 1 · 2019: 1 · 2018: 3
FWCI
12.14
Type
journal article
Language
en
Open access
closed
Licence
royalsociety.org/journals/ethics-policies/data-sharing-mining/ (tdm)
Locations
Proceedings of the Royal Society of London A Mathematical and Physical Sciences (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Pulsars and Gravitational Waves Research
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
colliding plane waves, Einstein-Maxwell equations, exact solutions, impulsive gravitational waves, electromagnetic shock waves, black hole solutions, null boundary, spacetime singularities, gravitational waves, electromagnetic radiation, current sheets

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