26.04.2019

Sumio Yamada (Gakushuin University, Tokyo, Japan)

Chebyshev Laboratory Colloquium

Tuesday April 30 17:15 room 105 (14-th line V.I., 29)

In 1917, shortly after Einstein had announced his master equation on the general

relativity, H. Weyl characterized the Schwarzschild metric, which is the first

nontrivial solution to the Einstein equation, by a harmonic function. Since then,

the solutions to the Einstein equation with a certain set of symmetries are identified

with elliptic variational problems, in particular the harmonic map equation, often

called nonlinear sigma model. With Marcus Khuri and Gilbert Weinstein, we

constructed a new set of stationary solutions to the 5-dimensional vacuum Einstein

equation, which contains non-spherical event horizons, such as lens spaces. The

higher dimensional spacetime exhibit a wider range of topological structures,

compared to our 4-dimensional physical spacetime, and those stationary solutions

are thus geometrically interesting.

Everyone is welcome!

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