7 citations · 33 across the 14 of their papers we have counts for
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Curvature Propagation for the 3+1 Dimensional U(1) Symmetric Einstein Spacetimes
Nishanth Gudapati
As it is well known, the global structure of the Einstein equations for general relativity in the context of the initial value problem, is a difficult and intricate mathematical pr…
A Note on the Dimensional Reduction of Axisymmetric Spacetimes
Nishanth Gudapati
We investigate the dimensional reduction of 3+1 vacuum axisymmetric Einstein's equations to 2+1 dimensional Einstein-wave map system and observe that the resulting system is 1) not…
On Scattering for Small Data of 2+1 Dimensional Equivariant Einstein-Wave Map System
Benjamin Dodson, Nishanth Gudapati
We consider the Cauchy problem of 2+1 equivariant wave maps coupled to Einstein's equations of general relativity and prove that two separate (nonlinear) subclasses of the system d…
Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System
Lars Andersson, Nishanth Gudapati, Jeremie Szeftel
In this paper we consider the equivariant 2+1 dimensional Einstein-wave map system and show that if the target satisfies the so called Grillakis condition, then global existence ho…
On the Cauchy Problem for Energy Critical Self-Gravitating Wave Maps
Nishanth Gudapati
This work is on the Cauchy problem for critical wave maps coupled to Einstein's equations of general relativity. The main result of this work is the proof that the energy of the Ei…