Previously Featured Research
Self-Similar Gravitational Dynamics, Singularities and Criticality in 2D
Published in the Journal of High Energy Physics (JHEP): JHEP 06 (2023) 194
DOI: https://doi.org/10.1007/JHEP06(2023)194
arXiv Link: https://arxiv.org/abs/2211.01394
This work of mine, motivated by critical phenomena in higher-dimensional gravity, initiated a systematic study of continuous self-similar gravitational dynamics in 1+1 dimensions. For a general two-dimensional gravitational theory coupled to a dilaton field and Maxwell field, I foundthat the assumption of continuous self-similarity is so restrictive that it determines the form of the dilaton coupling to the curvature. Certain limits produce two important classes of models, one of which is closely related to two-dimensional string theory and the other being Liouville gravity. I found spacetimes with uncommon asymptotic behaviour. I explored addition of matter fields consistent with self-similarity (including a certain model of semi-classical gravity). Based on the phenomenon of finite-time blow-up in ODEs, I argued that spacetime singularities are generic in these models. I found qualitatively diverse results from analytical and numerical investigations regarding matter field collapse and singularities. There were interesting hints of a Choptuik-like scaling law.
Strong Cosmic Censorship in Two Dimensions
Phys. Rev. D 103, L081502 (2021) (published as a letter)
arXiv Link: https://arxiv.org/abs/2011.03499
This work of mine was motivated by some recent works that found violations of the strong cosmic censorship conjecture – a conjecture that was formulated to save the deterministic nature of general relativity. Working with a black hole in a negatively curved two-dimensional spacetime (which is intimately related to the higher dimensional examples that seemed to violate the conjecture), I found a strong violation of the conjecture. My work gives an explanation for the violation observed in the higher dimensional black holes.