Conjugate points along null geodesics of asymptotically flat spacetimes

Details Conjugate points along null geodesics of asymptotically flat spacetimes Conjugate points along null geodesics of asymptotically flat spacetimes

Mar 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cqgra..15..689f&link_type=abstract

Classical and Quantum Gravity, Volume 15, Issue 3, pp. 689-703 (1998).

Physics

2

Scientific paper

We locate pairs of conjugate points on null geodesics along which there is a `barrier' of Weyl curvature. The existence of conjugate points in this case is predicted by general theorems. We also find that the same conjugate points can be obtained perturbatively off flat space, assuming the barrier to be weak. The conjugate points appear at second order in the perturbative approach. These results are relevant to the existence of singularities in the perturbative treatment of lightcone cuts of null infinity in asymptotically flat spacetimes that are close to Minkowski.

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