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On Gravitational Shock Waves in Curved Spacetimes

Sfetsos, K (1994) On Gravitational Shock Waves in Curved Spacetimes Nucl.Phys. B, 436. pp. 721-746.

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Some years ago Dray and 't Hooft found the necessary and sufficient conditions to introduce a gravitational shock wave in a particular class of vacuum solutions to Einstein's equations. We extend this work to cover cases where non-vanishing matter fields and cosmological constant are present. The sources of gravitational waves are massless particles moving along a null surface such as a horizon in the case of black holes. After we discuss the general case we give many explicit examples. Among them are the $d$-dimensional charged black hole (that includes the 4-dimensional Reissner-Nordstr\"om and the $d$-dimensional Schwarzschild solution as subcases), the 4-dimensional De-Sitter and Anti-De-Sitter spaces (and the Schwarzschild-De-Sitter black hole), the 3-dimensional Anti-De-Sitter black hole, as well as backgrounds with a covariantly constant null Killing vector. We also address the analogous problem for string inspired gravitational solutions and give a few examples.

Item Type: Article
Divisions : Surrey research (other units)
Authors :
Date : 30 August 1994
DOI : 10.1016/0550-3213(94)00573-W
Uncontrolled Keywords : hep-th, hep-th, gr-qc
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:27
Last Modified : 24 Jan 2020 22:16

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