35 citations · 81 across the 8 of their papers we have counts for
8 papers
A note on gravity and fluid dynamic correspondence on a null hypersurface
Krishnakanta Bhattacharya, Sumit Dey, Bibhas Ranjan Majhi
In the extensive literature on fluid-gravity correspondence formulated on null hypersurfaces, the Carrollian and membrane paradigm approaches have predominantly employed a timelike…
Possible fluid interpretation and tidal force equation on a generic null hypersurface in Einstein-Cartan theory
Sumit Dey, Bibhas Ranjan Majhi
The dynamical evolution of the Hajicek -form is derived in Einstein-Cartan (EC) theory. We find that like Einstein theory of gravity, the evolution equation is related to a proj…
Kinematics and dynamics of null hypersurfaces in the Einstein-Cartan spacetime and related thermodynamic interpretation
Sumit Dey, Bibhas Ranjan Majhi
A general geometric construction of a generic null hypersurface in presence of torsion in the spacetime (Riemann-Cartan background), generated by a null vector , is being deve…
Thermodynamic structure of a generic null surface and the zeroth law in scalar-tensor theory
Sumit Dey, Krishnakanta Bhattacharya, Bibhas Ranjan Majhi
We show that the equation of motion of scalar-tensor theory acquires thermodynamic identity when projected on a generic null surface. The relevant projection is given by $E_{ab}l^a…
Covariant approach to the thermodynamic structure of a generic null surface
Sumit Dey, Bibhas Ranjan Majhi
We readdress the thermodynamic structure of geometrical relations on a generic null surface. Among three potential candidates, originated from different components of alon…
Gravity dual of Navier-Stokes equation in a rotating frame through parallel transport
Sumit Dey, Shounak De, Bibhas Ranjan Majhi
The fluid-gravity correspondence documents a precise mathematical map between a class of dynamical spacetime solutions of the Einstein field equations of gravity and the dynamics o…
A general framework to study the extremal phase transition of black holes
Krishnakanta Bhattacharya, Sumit Dey, Bibhas Ranjan Majhi +1
We investigate the universality of some features for the extremal phase transition of black holes and unify all the approaches which have been applied in different spacetimes. Unli…
Effective metric in fluid-gravity duality through parallel transport: a proposal
Shounak De, Sumit Dey, Bibhas Ranjan Majhi
The incompressible Navier-Stokes (NS) equation is known to govern the hydrodynamic limit of essentially any fluid and its rich non-linear structure has critical implications in bot…