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- Spherically Symmetric Euclidean Instantons

Knowledge

of all complete Euclidean instantons of a requisite set of symmetries and set

of charges is of direct importance in the path integral approach to

semiclassical quantum gravity. In this talk, a proof of Birkhoff's theorem for

Euclidean Einstein-‐Maxwell gravity with positive, negative or zero

cosmological constant is presented, with particular attention payed to the fact

that the local spherical symmetry implies the existence of another local

Killing vector field orthogonal to the closed two dimensional orbits of SO(3).

Next, properties of the self-‐dual and anti-‐self-‐dual Weyl curvatures are

used to show that spherically symmetric spaces must have zero signature and

positive Euler characteristic. Finally, various theorems in topology are

applied to further restrict the possible covering spaces to a finite set,

providing a classification of all complete spherically symmetric Euclidean

instantons of the theory.

Event Type:

Seminar

Collection/Series:

Scientific Area(s):

Speaker(s):

Event Date:

Friday, May 24, 2013 - 11:00 to 12:30

Location:

Sky Room

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