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Publications

Submitted
P. Mondal and S.-T. Yau. Submitted. “A Spinorial Proof of the Positivity of Quasi-local mass.” Comm. Math. Phys. spin.pdf
Forthcoming
P. Mondal and S.-T. Yau. Forthcoming. “Einstein-Yang-Mills equations in the double null framework.” Communications in Analysis and Geometry.Abstract
https://arxiv.org/pdf/2205.01101.pdf
N. Athanasiu, P. Mondal, and S.-T. Yau. Forthcoming. “Formation of trapped surfaces in Einstein-Yang-Mills system.” Annals of PDE.Abstract
https://arxiv.org/pdf/2302.06915.pdf
P. Mondal. Forthcoming. “The nonlinear stability of n+1 dimensional FLRW spacetimes.” Journal of Hyperbolic Differential Equations.Abstract
https://arxiv.org/pdf/2203.04785.pdf
2024
O. Vazquez and P. Mondal. 2024. “Continuation Criterion For Solutions To The Einstein Equations.” Journal of Mathematical Physics.Abstract
https://arxiv.org/pdf/2209.00090.pdf
P. Mondal and S.-T. Yau. 2024. “Global exterior stability of the Minkowski space: coupled Einstein-Yang-Mills perturbations.” J. Math. Phys.Abstract
https://arxiv.org/abs/2211.03167
2023
P. Mondal. 2023. “Big-Bang limit of 2+1 gravity and Thurston boundary of Teichmuller space.” Journal of Mathematical Physics.
P. Mondal. 2023. “Local Well posedness of Einsten-Yang-Mills equations in Constant mean extrinsic curvature genelarized Coulomb gauge.” Journal of Mathematical Physics.
P. Mondal. 2023. “A geometric approach to Yang-Mills mass Gap.” Journal of High energy Physics.Abstract
https://arxiv.org/pdf/2301.06996.pdf
2022
P. Mondal and S-T Yau. 2022. “Aspects of quasi-local energy for gravity coupled to gauge fields.” Physical Review D.
P. Griggs and P. Mondal. 2022. “Global Well posedness of Einstein-Yang-Mills equations.” Journal of Mathematical Physics.
2021
V. Moncrief and P. Mondal. 2021. “Einstein flow with matter sources: stability and convergence.” Philosophical Transactions of Royal Society A.
P. Mondal. 2021. “The linear stability of the n+1 dimensional FLRW spacetimes.” Classical and Quantum Gravity.
P. Mondal. 2021. “On the non-blowup of energy critical nonlinear massless scalar fields in ‘3+1’ dimensional globally hyperbolic spacetimes: Light cone estimates.” Annals of Mathematical Sciences and Applications.
2020
P. Mondal. 2020. “Asymptotic behaviour of matter field universe with exotic topology.” Classical and Quantum Gravity.
P. Mondal. 2020. “Attractors of n + 1 dimensional Einstein-  flow.” Classical and Quantum Gravity.
2019
V. Moncrief and P. Mondal. 1/2019. “Could the Universe have an Exotic Topology?” Pure and Appliend Mathematics Quarterly , 15, 3. Publisher's Version