Penrose limits and spacetime singularities

M Blau, M Borunda, M O'Loughlin, G Papadopoulos

Research output: Contribution to journalLetterpeer-review

48 Citations (Scopus)

Abstract

We give a covariant characterization 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-lyer 'power-law type'), including those of the FRW and Schwarzschild metrics, the result is a singular homogeneous plane wave with profile A(u) similar to u(-2), the scale invariance of the latter reflecting the power-law behaviour of the singularities.
Original languageEnglish
Pages (from-to)L43 - L49
JournalClassical and Quantum Gravity
Volume21
Issue number7
DOIs
Publication statusPublished - 7 Apr 2004

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