There is no $R^3 X S^1$ vacuum gravitational instanton

Details There is no $R^3 X S^1$ vacuum gravitational instanton There is no $R^3 X S^1$ vacuum gravitational instanton

1992-08-19

arxiv.org/abs/gr-qc/9208007v1

Phys.Rev.Lett. 70 (1993) 1576-1578

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

10.1103/PhysRevLett.70.1576

Gravitational instantons, solutions to the euclidean Einstein equations, with topology $R^3 XS^1$ arise naturally in any discussion of finite temperature quantum gravity. This Letter shows that all such instantons (irrespective of their interior behaviour) must have the same asymptotic structure as the Schwarzschild instanton. Using this, it can be shown that if the Ricci tensor of the manifold is non-negative it must be flat. One special case is when the Ricci tensor vanishes; hence one can conclude that there is no nontrivial vacuum gravitational instanton. This result has uses both in quantum and classical gravity. It places a significant restriction on the instabilities of hot flat space. It also can be used to show that any static vacuum Lorentzian Kaluza-Klein solution is flat.

Affiliated with

Also associated with

No associations

Rating

There is no $R^3 X S^1$ vacuum gravitational instanton does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with There is no $R^3 X S^1$ vacuum gravitational instanton, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and There is no $R^3 X S^1$ vacuum gravitational instanton will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-18005