11 citations · 46 across the 22 of their papers we have counts for
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Einstein's Field Equations as Continuous-Time Recurrent Neural Networks
Ikjyot Singh Kohli
We examine a subset of spatially homogenous and anisotropic solutions to Einstein's field equations: the Bianchi Type A models, and show that they can be written as a continuous-ti…
Oscillating Towards the de Sitter Universe
Ikjyot Singh Kohli
In this paper, we consider spatially flat FLRW cosmological models in two contexts in an attempt to derive a set of conditions that characterize when such models exhibit oscillator…
Dynamics of a Bianchi Type I Model With a Concave Potential
Ikjyot Singh Kohli, Michael C. Haslam
In this paper, we study the dynamics of a Bianchi Type I potential in the presence of a concave potential of the form , where $V…
Dynamics of a Vacuum Bianchi Type V Universe with an Arbitrary Cosmological Constant
Ikjyot Singh Kohli
In this paper, we describe the dynamics of a Bianchi Type V vacuum universe with an arbitrary cosmological constant. We begin by using an orthonormal frame approach to write Einste…
A Degenerate Bogdanov-Takens Normal Form for FLRW Cosmologies
Ikjyot Singh Kohli, Michael C. Haslam
In this paper, we first show that the Einstein field equations for all perfect-fluid FLRW cosmologies can be written as a planar dynamical system with the equation of state paramet…
On Past Singularities in FLRW Cosmologies
Ikjyot Singh Kohli
The fundamental singularity theorem of FLRW cosmologies assumes that the matter content in the cosmological model obeys the strong energy condition along with a nonpositive cosmolo…
Stochastic Eternal Inflation in a Bianchi Type I Universe
Ikjyot Singh Kohli, Michael C. Haslam
The phenomenon of stochastic eternal inflation is studied for a chaotic inflation potential in a Bianchi Type I spacetime background. After deriving the appropriate stochastic Klei…
The Osgood Criterion and Finite-Time Cosmological Singularities
Ikjyot Singh Kohli
In this paper, we apply Osgood's criterion from the theory of ordinary differential equations to detect finite-time singularities in a spatially flat FLRW universe in the context o…
On Singularities in Cosmic Inflation
Ikjyot Singh Kohli
In this paper, we examine a flat FLRW spacetime with a scalar field potential and show by applying Osgood's criterion to the Einstein field equations that all such models, irrespec…
On The Dynamics of a Closed Viscous Universe
Ikjyot Singh Kohli, Michael C. Haslam
We use a dynamical systems approach based on the method of orthonormal frames to study the dynamics of a non-tilted Bianchi Type IX cosmological model with a bulk and shear viscous…
A Dynamical Systems Approach to a Bianchi Type I Viscous Magnetohydrodynamic Model
Ikjyot Singh Kohli, Michael C. Haslam
We use the expansion-normalized variables approach to study the dynamics of a non-tilted Bianchi Type I cosmological model with both a homogeneous magnetic field and a viscous flui…
The Future Asymptotic Behaviour of a Non-Tilted Bianchi Type IV Viscous Model
Ikjyot Singh Kohli, Michael C. Haslam
The future asymptotic behaviour of a non-titled Bianchi Type IV viscous fluid model is analyzed. In particular, we consider the case of a viscous fluid without heat conduction, and…
Quantum Wavefunction for a Schwarzschild Black Hole
Ikjyot Singh Kohli
A pseudo-Riemannian manifold contains an inherent Hamiltonian structure within the symplectic manifold in the cotangent bundle corresponding to the metric. Using this structure, it…