53 citations · 153 across the 13 of their papers we have counts for
13 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…
Slowly rotating ultracompact Schwarzschild star in the gravastar limit
Philip Beltracchi, Camilo Posada
We reconsider the problem of a slowly rotating homogeneous star, or Schwarzschild star, when its compactness goes beyond the Buchdahl bound and approaches the gravastar limit $R\to…
Rotating anisotropic stringy spheroid in a modified Hartle formalism
Philip Beltracchi
Here we look at an application of the Hartle metric to describe a rotating version of the spherical string cloud/ global monopole solution. While rotating versions of this solution…
Physical interpretation of Newman-Janis rotating systems. II. General systems
Philip Beltracchi, Paolo Gondolo
Drake and Szekeres have extended the Newman-Janis algorithm to produce stationary axisymmetric spacetimes from general static spherically symmetric solutions of the Einstein equati…
Slowly rotating gravastars
Philip Beltracchi, Paolo Gondolo, Emil Mottola
We solve Einstein's equations for slowly-rotating gravitational condensate stars (gravastars) up to second order in the rotation by expanding about the spherically symmetric gravas…
Physical interpretation of Newman-Janis rotating systems. I. A unique family of Kerr-Schild systems
Philip Beltracchi, Paolo Gondolo
The Newman-Janis algorithm and its generalizations can be used mathematically to generate rotating solutions from nonrotating spherically-symmetric solutions within general relativ…
Surface Stress Tensor and Junction Conditions on a Rotating Null Horizon
Philip Beltracchi, Paolo Gondolo, Emil Mottola
The general form of the surface stress tensor of an infinitesimally thin shell located on a rotating null horizon is derived, when different interior and exterior geometries are jo…
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…
Formation of dark energy stars
Philip Beltracchi, Paolo Gondolo
Dark energy stars are finite size astrophysical objects with an interior equation of state typical of dark energy. Examples are self-gravitating false vacuum bubbles, vacuum non-si…