Applying a Stability Conjecture to Plane-Wave Spacetimes

Details Applying a Stability Conjecture to Plane-Wave Spacetimes Applying a Stability Conjecture to Plane-Wave Spacetimes

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.116k&link_type=abstract

Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:

Astronomy and Astrophysics

Astrophysics

Scientific paper

Single plane-wave spacetimes either possess non-scalar curvature singularities or Cauchy horizons. Plane-wave Cauchy horizons are stable to perturbation by plane-symmetric radiation propagating parallel to the original wave, but they are unstable to colliding waves. We use these plane-wave Cauchy horizons to study the robustness of a stability (actually instability) conjecture which we previously applied with success to black-hole Cauchy horizons. We find the conjecture misses purly Weyl-tensor (conformal) singularities, but correctly predicts Ricci-tensor (matter) singularities. Two theorems are proved.

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