3 citations · 3 across the 2 of their papers we have counts for
6 papers
The nonlinear stability of n+1 dimensional FLRW spacetimes
Puskar Mondal
We prove nonlinear Lyapunov stability of a family of `'-dimensional cosmological models of general relativity locally isometric to the Friedman Lemaître Robertson Walker (FLRW…
On the non-blow up of energy critical nonlinear massless scalar fields in `3+1' dimensional globally hyperbolic spacetimes: Light cone estimates
Puskar Mondal
Here we prove a global existence theorem for the solutions of the semi-linear wave equation with critical non-linearity admitting a positive definite Hamiltonian. Formulating a par…
The linear stability of the Einstein-Euler system on negative Einstein spaces
Puskar Mondal
Here we prove the linear stability of a family of `'-dimensional Friedmann Lemaître Robertson Walker (FLRW) cosmological models of general relativity. We show that the solutio…
Attractors of the `n+1' dimensional Einstein- flow
Puskar Mondal
Here we prove a global existence theorem for sufficiently small however fully nonlinear perturbations of a family of background solutions of the ' vacuum Einstein equations i…
Could the Universe have an Exotic Topology?
Vincent Moncrief, Puskar Mondal
A recent article uncovered a surprising dynamical mechanism at work within the (vacuum) Einstein `flow' that strongly suggests that many closed 3-manifolds that do not admit a loca…
Wave Packets in Curved Space: Curvature-Field Coupling
Puskar Mondal, Subhajyoti Chaudhuri
Elastic wave propagation is a century-old problem. Unlike on a flat manifold, analytical solution is not well established for a curved manifold. In this study we take a step toward…