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arXiv · 1501.06878

Colliding Impulsive Gravitational Waves and a Cosmological Constant

C. Barrabès·P. A. Hogan
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Abstract

We present a space--time model of the collision of two homogeneous, plane impulsive gravitational waves (each having a delta function profile) propagating in a vacuum before collision and for which the post collision space--time has constant curvature. The profiles of the incoming waves are $k\,δ(u)$ and $l\,δ(v)$ where $k, l$ are real constants and $u=0, v=0$ are intersecting null hypersurfaces. The cosmological constant $Λ$ in the post collision region of the space--time is given by $Λ=-6\,k\,l$.

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C. Barrabès, P. A. Hogan. 2015-08-24. Colliding Impulsive Gravitational Waves and a Cosmological Constant. https://doi.org/10.1103/physrevd.92.044032

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