3 papers
gr-qc2026
Geometric Selection Rules for Singularity Formation in Modified Gravity
Soumya Chakrabarti
We argue that the polynomial degeneracies of curvature invariants can act as geometric selection rules for spacetime singularities in modified theories of gravity. The degeneracies…
gr-qc2025
Phase Transition and Critical Behavior in Gravitational Collapse
Soumya Chakrabarti
We present a thermodynamic analysis of spherically symmetric gravitational collapse. Using the Hayward-Kodama formalism, we treat a collapsing sphere as a thermodynamic system and…
gr-qc2025
On the Polynomial Degeneracy of Ricci Invariants and Spacetime Singularity
Soumya Chakrabarti
We explore the connection of a general relativistic matter-energy momentum tensor with the polynomial degeneracies of higher order curvature invariants defined in Riemannian geomet…