63 citations · 82 across the 11 of their papers we have counts for
11 papers
Explicit structure of the vanishing viscosity limits for the zero-pressure gas dynamics system initiated by the linear combination of a characteristic function and a -distribution
Abhishek Das
In this article, we consider the one-dimensional zero-pressure gas dynamics system \[ u_t + \left( {u^2}/{2} \right)_x = 0,\ ρ_t + (ρu)_x = 0 \] in the upper-half plane with a line…
Explicit structure of the vanishing viscosity limits with initial data consisting of -distributions starting from two point sources
Abhishek Das
In this article, we consider the one-dimensional zero-pressure gas dynamics system \[ u_t + \left( {u^2}/{2} \right)_x = 0,\ ρ_t + (ρu)_x = 0 \] in the upper-half plane with a line…
Numerical relativity simulations of prompt collapse mergers: threshold mass and phenomenological constraints on neutron star properties after GW170817
Rahul Kashyap, Abhishek Das, David Radice +10
We determine the threshold mass for prompt (no bounce) black hole formation in equal-mass neutron star (NS) mergers using a new set of 227 numerical relativity simulations. We cons…
Evolution of Curvature in Riemannian Geometry
Abhishek Das
In this paper shall we endeavour to substantiate that the evolution of the Riemann- Christoffel tensor or curvature tensor can be expressed entirely by an arbitrary timelike vector…
Nonlinear mode-tide coupling in coalescing binary neutron stars with relativistic corrections
Fatemeh Hossein Nouri, Sukanta Bose, Matthew D. Duez +1
We compute the internal modes of a nonspinning neutron star and its tidal metric perturbation in general relativity, and determine the effect of relativistic corrections to the mod…
Zitterbewegung field and the fifth force
B G Sidharth, Abhishek Das
In this paper, we investigate the {\it zitterbewegung region} based on a previous paper where we had derived equations for particles and antiparticles in the aforesaid region. Here…
Noncommutativity and relativity
B. G. Sidharth, Abhishek Das
In this paper, we endeavour to show that from the noncommutative nature of spacetime one can deduce the concept of relativity in the sense that the velocity cannot be infinite as i…
The Zitterbewegung Region
Burra G. Sidharth, Abhishek Das
\begin{abstract} This paper deals with a precise description of the region of {\it zitterbewegung} below the Compton scale and the stochastic nature associated with it. We endeavou…
High Energy Effects of Noncommutative Spacetime Geometry
Burra G. Sidharth, Abhishek Das
In this paper, we endeavour to obtain a modified form of the Foldy-Wouthuysen and Cini-Toushek transformations by resorting to the noncommutative nature of space-time geometry, sta…
The anomaly of dark matter
Burra G. Sidharth, A. Das
2017 observations by Riess and coworkers have indicated that the universe is expanding some seven percent faster than the currently accepted cosmological model described. In this p…
A note on Non-commutativity and the Zero Point Field
Burra G. Sidharth, Abhishek Das, Arka Roy
In this paper we endeavour to find a connection between the non-commutative nature of space time and the {\it zero point field}. We observe that extra effects come into play when w…