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A limit equation associated to the solvability of the vacuum Einstein constraint equations using the conformal method
solvability vacuum Einstein constraint equations conformal method
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2011/3/2
Let (M, g) be a compact Riemannian manifold on which a tracefree and divergence-free 2 W1,p and a positive function 2 W1,p, p > n,are fixed. In this paper, we study the vacuum Einstein constraint ...
Vacuum stability, string density of states and the Riemann zeta function
Vacuum stability string density of states Riemann zeta function
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2011/3/3
We study the distribution of graded degrees of freedom in classically stable oriented closed string vacua and use the Rankin-Selberg transform to link it to the nite one-loop vacuum energy.
Zero dissipation limit to rarefaction wave with vacuum for 1-D compressible Navier-Stokes equations
rarefaction wave vacuum for 1-D compressible Navier-Stokes equations
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2010/11/15
It is well-known that one-dimensional isentropic gas dynamics has two elementary waves, i.e., shock wave and rarefaction wave. Among the two waves, only the rarefaction wave can be connected with vac...
On stationary vacuum solutions to the Einstein equations
stationary vacuum the Einstein equations
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2010/11/2
It is proved that the only geodesically complete stationary vacuum solution of the Einstein equations is the empty Minkowski space, or a quotient of it by a discrete group of isometries, generalizing ...
On the structure of solutions to the static vacuum Einstein equations
structure the static vacuum Einstein equations
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2010/11/2
A complete characterization is obtained of the asymptotic behavior of solutions of the static vacuum Einstein equations which have a (pseudo)-compact horizon or boundary and are complete away from th...