119 citations · 264 across the 23 of their papers we have counts for
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Elliptic function solutions in Jackiw-Teitelboim dilaton gravity
Jennie D'Ambroise, Floyd L. Williams
We present a new family of solutions for the Jackiw-Teitelboim model of two-dimensional gravity with a negative cosmological constant. Here, a metric of constant Ricci scalar curva…
Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II
Jennie D'Ambroise, Floyd L. Williams
This paper continues earlier work where an explicit parametrized solution of a particular nonlinear ordinary differential equation was obtained in terms of the Weierstrass elliptic…
Parametric solution of certain nonlinear differential equations in cosmology
Jennie D'Ambroise, Floyd L. Williams
We obtain in terms of the Weierstrass elliptic function, sigma function, and zeta function an explicit parametrized solution of a particular nonlinear, ordinary differential…
Generalized EMP and nonlinear Schrodinger-type reformulations of some scalar field cosmological models
Jennie D'Ambroise
We show that Einstein's gravitational field equations for the Friedmann-Robertson-Lemaître-Walker (FRLW) and for two conformal versions of the Bianchi I and Bianchi V perfect fluid…
Applications of Elliptic and Theta Functions to Friedmann-Robertson-Lemaitre-Walker Cosmology with Cosmological Constant
Jennie D'Ambroise
Elliptic functions are known to appear in many problems, applied and theoretical. However, a lesser known application is in the study of exact solutions to Einstein's gravitational…
EMP and linear Schrodinger models for a conformally Bianchi I cosmology
Jennie D'Ambroise
Using a conformal version of the Bianchi I metric and a perfect fluid energy-momentum tensor, we show that the resulting Einstein field equations are equivalent to a generalized Er…