ERRATUM: Existence of non-trivial, vacuum, asymptotically simple spacetimesExistence of non-trivial, vacuum, asymptotically simple spacetimes

Details ERRATUM: Existence of non-trivial, vacuum, asymptotically simple spacetimesExistence of non-trivial, vacuum, asymptotically simple spacetimes ERRATUM: Existence of non-trivial, vacuum, asymptotically simple spacetimesExistence of non-trivial, vacuum, asymptotically simple spacetimes

Jun 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cqgra..19.3389c&link_type=abstract

Classical and Quantum Gravity, Volume 19, Issue 12, pp. 3389 (2002).

Physics

7

Scientific paper

We withdraw the claim in section 5 of our letter concerning the addition of Einstein-Rosen bridges. The construction presented in that section does correctly lead to the addition of a Schwarzschild metric in a neighbourhood of a point satisfying a local parity condition. However, the justification we gave of the positivity of mass of the resulting metric is incorrect. When trying to prove our claim we have underestimated one of the error terms. This mistake led us to the approximate equality mɛ ≈ m(ɛ)/ɛ which might be wrong. It follows that the added Schwarzschild might have negative mass, in which case a naked singularity is added to the initial data set. While such an observation seems to be less interesting than the possibility of adding a bridge, it might have some interest of its own.

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