Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-12-02
Class.Quant.Grav.21:L43,2004
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, LaTeX2e; v2: additional references and cosmetic corrections
Scientific paper
10.1088/0264-9381/21/7/L02
We give a covariant characterisation of the Penrose plane wave limit: the plane wave profile matrix $A(u)$ is the restriction of the null geodesic deviation matrix (curvature tensor) of the original spacetime metric to the null geodesic, evaluated in a comoving frame. We also consider the Penrose limits of spacetime singularities and show that for a large class of black hole, cosmological and null singularities (of Szekeres-Iyer ``power-law type''), including those of the FRW and Schwarzschild metrics, the result is a singular homogeneous plane wave with profile $A(u)\sim u^{-2}$, the scale invariance of the latter reflecting the power-law behaviour of the singularities.
Blau Matthias
Borunda Monica
O'Loughlin Martin
Papadopoulos George
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