12 citations · 23 across the 9 of their papers we have counts for
9 papers
Critical String Theory in a Robertson-Walker Background and the Large Scale Structure of Spacetime
Jaroslaw S. Jaracz
We show that -dimensional Robertson-Walker spacetimes can be constructed for which all of the beta functions vanish to leading order, yielding consistent string theory without e…
Conformal deformations of initial data sets to the strict dominant energy condition using a spacetime Poisson equation
Jaroslaw S. Jaracz
We give an alternate proof of one of the results given in [16] showing that initial data sets with boundary for the Einstein equations satisfying the dominant energy co…
Nonexistence of Solutions to the Coupled Generalized Jang Equation/Zero Divergence System
Jaroslaw S. Jaracz
In [5], Bray and Khuri proposed coupling the generalized Jang equation to several different auxiliary equations. The solutions to these coupled systems would then imply the Penrose…
Galaxy rotation curves incorporating relativistic mass and comparison with Keplerian velocity curves
Jaroslaw S. Jaracz
We derive a formula for the velocity distribution of an axially symmetric galaxy where the mass density is corrected using the mass formula from special relativity. We take some re…
Spherically symmetric counter examples to the Penrose inequality and the positive mass theorem under the assumption of the weak energy condition
Jaroslaw S. Jaracz
Of the various energy conditions which can be assumed when studying mathematical general relativity, intuitively the simplest is the weak energy condition which simply st…
The Global Existence of Solutions to a Quasi-Relativistic Incompressible Navier-Stokes Model
Jaroslaw S. Jaracz
We introduce a new modified Navier-Stokes model in dimensions by modifying the convection term in the ordinary Navier-Stokes equations. This is done by replacing the convective…
Existence and Stability of Global Solutions to a regularized Oldroyd-B Model in its Vorticity Formulation
Jaroslaw S. Jaracz, Young Ju Lee
We present a new regularized Oldroyd-B model in three dimensions which satisfies an energy estimate analogous to that of the standard model, and maintains the positive semi-definit…
The Penrose inequality and positive mass theorem with charge for manifolds with asymptotically cylindrical ends
Jaroslaw Jaracz
We establish the charged Penrose inequality for time symmetric initial data sets having an outermost minimal surface boundary and finitely many asymptotically cylindrical ends, wit…
Bekenstein Bounds, Penrose Inequalities, and Black Hole Formation
Jaroslaw S. Jaracz, Marcus A. Khuri
A universal geometric inequality for bodies relating energy, size, angular momentum, and charge is naturally implied by Bekenstein's entropy bounds. We establish versions of this i…