#### Filter Results:

- Full text PDF available (24)

#### Publication Year

2002

2018

- This year (2)
- Last 5 years (11)
- Last 10 years (25)

#### Publication Type

#### Co-author

Learn More

We prove that there exists a class of non-stationary solutions to the Einstein-Euler equations which have a Newtonian limit. The proof of this result is based on a symmetric hyperbolic formulation of… (More)

We prove local existence and uniqueness of static spherically symmetric solutions of the Einstein–Yang–Mills (EYM) equations for an arbitrary compact semisimple gauge group in the so-called regular… (More)

We study Ricci flows on R, n ≥ 3, that evolve from rotationally symmetric, asymptotically flat initial data containing no embedded minimal hyperspheres. We show that in this case the flow is… (More)

We prove local existence and uniqueness of static spherically symmetric solutions of the Einstein–Yang–Mills equations for any action of the rotation group (or SU(2)) by automorphisms of a principal… (More)

We show that for two-dimensional manifolds M with negative Euler characteristics, there exist subsets of the space of smooth Riemannian metrics which are invariant and either parabolic or… (More)

Abstract We discuss certain recent mathematical advances, mainly due to Perelman, in the theory of Ricci flows and their relevance for renormalization group (RG) flows. We consider nonlinear sigma… (More)

We prove the local existence of solutions to the Einstein-Elastic equations that represent self-gravitating, relativistic elastic bodies with compact support.

We establish the existence of a wide class of inhomogeneous relativistic solutions to the Einstein–Euler equations that are well approximated on cosmological scales by solutions of Newtonian gravity.… (More)

The set of all possible spherically symmetric magnetic static Einstein–Yang–Mills field equations for an arbitrary compact semisimple gauge group G was classified in two previous papers. Local… (More)

We prove the stability of the torus, and with suitable rescaling, hyperbolic space under the (two-loop) renormalization group flow for the nonlinear sigma model. To prove stability we use similar… (More)