12 citations · 12 across the 3 of their papers we have counts for
7 papers
Multidimensional cost geometry
Jonathan Washburn, Milan Zlatanović, Philip Beltracchi
In this paper, we study the geometric structure induced by the canonical reciprocal cost function and its natural -dimensional extension. In logarithmic coordinates, the potenti…
Slowly rotating covariant anisotropic objects
Philip Beltracchi, Camilo Posada
The equilibrium configurations of slowly rotating anisotropic self-gravitating fluids are computed using the extended Hartle structure equations, including anisotropic effects, der…
Simple Bianchi cosmologies with anisotropic Segre [1(11,1)] dark energy
Philip Beltracchi
In this paper, we use a sample anisotropic but spatially homogeneous metric to look at the properties of Segre type [1(11,1)] universes, that behave like vacuum energy along a spat…
Slowly rotating anisotropic relativistic stars
Philip Beltracchi, Camilo Posada
The present paper is devoted to a study of the equilibrium configurations of slowly rotating anisotropic stars in the framework of general relativity. For that purpose, we provide…
A curious general relativistic sphere
Philip Beltracchi, Paolo Gondolo
We present a particular solution to the Einstein field equations that could arise as a magnetic monopole in the strong field limit of the Born-Infeld electrodynamics. We solve its…
An exact time-dependent interior Schwarzschild solution
Philip Beltracchi, Paolo Gondolo
We present a time-dependent uniform-density interior Schwarzschild solution, an exact solution to the Einstein field equations. Our solution describes the collapse (or the time-rev…