Stability of Flat Space to Singular Instantons

Details Stability of Flat Space to Singular Instantons Stability of Flat Space to Singular Instantons

1999-01-27

arxiv.org/abs/gr-qc/9901079v3

Phys.Lett. B458 (1999) 202-208

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, RevTex file, including two postscript figure files. Minor typos corrected, figure improved

Scientific paper

10.1016/S0370-2693(99)00587-0

Hawking and the author have proposed a class of singular, finite action instantons for defining the initial conditions for inflation. Vilenkin has argued they are unacceptable. He exhibited an analogous class of asymptotically flat instantons which on the face of it lead to an instability of Minkowski space. However, all these instantons must be defined by introducing a constraint into the path integral, which is then integrated over. I show that with a careful definition these instantons do not possess a negative mode. Infinite flat space is therefore stable against decay via singular instantons.

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