Research

Anisotropic cosmology investigates models of the universe that retain spatial homogeneity—meaning the large-scale universe is statistically the same at every point—but discard the assumption of complete isotropy, implying that expansion rates and physical properties differ depending on the direction of observation. This framework is mathematically grounded in Thurston geometries, which classify the eight possible shapes of 3-dimensional space, five of which describe these complex, direction-dependent universes. The study concludes that because a period of primordial inflation naturally solves the problem of growing anisotropies, any of these Thurston geometries should be considered on a par with the standard Friedmann models used in modern cosmology. 

Higher derivative theories are a class of modified gravity theories inspired from renormalizability concerns of gravity at UV scale. However, these theories often give rise to instabilities called “Ostrogradski Instability” arising from the higher order terms in the Lagrangian. Our work focuses on removing such instability from higher derivative theories of gravity. 

Analog gravity is a research programme in which we investigate the analog models of General Relativity and Cosmology within other physical systems - Bose Einstein Condensation specifically. Last decade have seen remarkable development in such models within BEC. Expansion of spacetime, Blackholes, Hawking radiation and Penrose theorem are the few examples. 

Observation data suggests that the universe is undergoing an accelerated expansion and convention approach to explain this is by introducing a dark energy term in Einstein-Hilbert action. As is well known that the this approach suffers from a fine tuning problem, we are working on an alternative approach which investigate this accelerated expansion using Non-Local Cosmological Models.