A new AF gravitational instanton

Details A new AF gravitational instanton A new AF gravitational instanton

2011-07-05

arxiv.org/abs/1107.0763v1

Phys.Lett.B703:359-362,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 2 figures, LaTeX

Scientific paper

10.1016/j.physletb.2011.07.076

It has long been conjectured that the Euclidean Schwarzschild and Euclidean Kerr instantons are the only non-trivial asymptotically flat (AF) gravitational instantons. In this letter, we show that this conjecture is false by explicitly constructing a new two-parameter AF gravitational instanton with a U(1)xU(1) isometry group, using the inverse-scattering method. It has Euler number \chi=3 and Hirzebruch signature \tau=1, and its global topology is CP^2 with a circle S^1 removed appropriately. Various other properties of this gravitational instanton are also discussed.

Affiliated with

Also associated with

No associations

Rating

A new AF 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 A new AF gravitational instanton, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new AF gravitational instanton will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-475840