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Collision of shock waves in Einstein-Maxwell theory with a cosmological constant: A special solution

Abstract : Postcollision space-times of the Cartesian product form M'xM", where M' and M" are 2-dimensional manifolds, are known with M' and M" having constant curvatures of equal and opposite sign ( for e.m. shock waves) or of the same sign (for gravitational shock waves). We construct here a new explicit postcollision solution of the Einstein-Maxwell vacuum field equations with a cosmological constant for which M' has constant (nonzero) curvature and M" has zero curvature.
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Contributor : Claude Barrabès <>
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Claude Barrabès, P. A. Hogan. Collision of shock waves in Einstein-Maxwell theory with a cosmological constant: A special solution. Physical Review D, American Physical Society, 2013, 88 (8), pp.087501(3). ⟨10.1103/PhysRevD.88.08.087501⟩. ⟨hal-00958877⟩

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