8 citations · 24 across the 25 of their papers we have counts for
19 papers · 1 filter
Boundary-Geometry-Driven Black Hole Formation in Vacuum
Dipanjan Dey, Puskar Mondal, Shing-Tung Yau
We identify a boundary-geometry-driven mechanism for the dynamical formation of marginally outer trapped surfaces (MOTSs) in vacuum general relativity. Mild three-dimensional aniso…
Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data
Nikolaos Athanasiou, Puskar Mondal, Shing-Tung Yau
We establish a trapped surface formation theorem for the spherically symmetric Einstein Yang Mills equations in a double-null gauge. The theorem concerns characteristic initial dat…
Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity
Puskar Mondal, Shing-Tung Yau
We prove the dynamical formation of a marginally outer trapped surface in pure vacuum spacetime from smooth asymptotically flat Cauchy data which initially contain no MOTS. The mec…
A large data result for vacuum Einstein's equations
Puskar Mondal
We prove a global well-posedness and asymptotic convergence theorem for the \((3+1)\)-dimensional vacuum Einstein equations with positive cosmological constant \(Λ\) on globally hy…
A new conformal quasi-local energy in general relativity
Puskar Mondal, Shing-Tung Yau
We construct new conserved quasi-local energies in general relativity using the formalism developed by \cite{CWY}. In particular, we use the optimal isometric embedding defined in…
On the Global Well-Posedness of the Einstein-Yang-Mills System
Petar Griggs, Puskar Mondal
In this paper, we present a partial result on the global well-posedness of the Cauchy problem for the Einstein-Yang-Mills system in the constant mean extrinsic curvature spatial ha…
Global exterior stability of the Minkowski space: coupled Einstein-Yang-Mills perturbations
Puskar Mondal, Shing-Tung Yau
Here we prove a global gauge-invariant radiation estimates for the perturbations of the dimensional Minkowski spacetime in the presence of Yang-Mills sources. In particular,…
Continuation Criterion For Solutions To The Einstein Equations
Oswaldo Vazquez, Puskar Mondal
We prove a continuation condition in the context of 3+1 dimensional vacuum Einstein gravity in Constant Mean extrinsic Curvature (CMC) gauge. More precisely, we obtain quantitative…
Einstein-Yang-Mills equations in the double null framework
Puskar Mondal, Shing-Tung Yau
We prove a semi-global gauge-invariant estimate for the solutions of the characteristic initial value problem associated with the coupled Einstein-Yang-Mills equations. In particul…
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…
Aspects of Quasi-local energy for gravity coupled to gauge fields
Puskar Mondal, Shing-Tung Yau
We study the aspects of quasi-local energy associated with a surface bounding a space-like domain of a physical dimensional spacetime in the regime of gravity cou…
Local well-posedness of the Einstein-Yang-Mills system in CMCSHGC gauge
Puskar Mondal
We study the local well-posedness of the Einstein-Yang-Mills equations in constant mean extrinsic curvature spatial harmonic generalized Coulomb gauge (CMCSHGC). In this choice of…
Einstein flow with matter sources: stability and convergence
Vincent Moncrief, Puskar Mondal
Two recent articles \cite{ashtekar2015general, moncrief2019could} suggested an interesting dynamical mechanism within the framework of the vacuum Einstein flow (or Einstein- flo…
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…
Big-bang limit of gravity and Thurston boundary of Teichmüller space
Puskar Mondal
We study the asymptotic behavior of the solution curves of the dynamics of spacetimes of the topological type , , where is a closed Riemann sur…
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…
Asymptotic behavior of a matter filled universe with exotic topology
Puskar Mondal
The ADM formalism together with a constant mean curvature (CMC) temporal gauge is used to derive the monotonic decay of a weak Lyapunov function of the Einstein dynamical equations…
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…