Paola Rioseco

Paola Rioseco
University of Chile · Centro de Modelamiento Matemático (CMM)

Postdoc
Postdoc researcher University of Chile (CMM)

About

15
Publications
1,066
Reads
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231
Citations
Citations since 2016
12 Research Items
221 Citations
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201620172018201920202021202201020304050
201620172018201920202021202201020304050
201620172018201920202021202201020304050
Additional affiliations
March 2013 - December 2015
Pontificia Universidad Católica de Chile
Position
  • Msc magister en fisica
Education
February 2015 - March 2019

Publications

Publications (15)
Preprint
Full-text available
We prove phase-space mixing for solutions to Liouville's equation for integrable systems. Under a natural non-harmonicity condition, we obtain weak convergence of the distribution function with rate $\langle \mathrm{time} \rangle^{-1}$.
Article
We prove phase-space mixing for solutions to Liouville’s equation for integrable systems. Under a natural non-harmonicity condition, we obtain weak convergence of the distribution function with rate ⟨time⟩ ⁻¹ . In one dimension, we also study the case where this condition fails at a certain energy, showing that mixing still holds but with a slower...
Article
Full-text available
This article is devoted to the study of the dynamical behavior of a collisionless kinetic gas in d = 1, 2, 3 space dimensions which is trapped in a rotationally symmetric potential well. Although at the microscopic level the trajectories of individual gas particles are quasi-periodic and characterized by their d fundamental frequencies, at the macr...
Preprint
Full-text available
This article is devoted to the study of the dynamical behavior of a collisionless kinetic gas in d=1,2,3 space dimensions which is trapped in a rotationally symmetric potential well. Although at the microscopic level the trajectories of individual gas particles are quasi-periodic and characterized by their d fundamental frequencies, at the macrosco...
Thesis
Full-text available
This thesis is based on a description of processes of accretion of matter towards black holes. The matter model that is used is a relativistic kinetic gas, which is based on a description through the one-particle distribution function on the phase space and whose dynamics is given by the relativistic Liouville equation (i.e. the collisionless Boltz...
Article
Full-text available
It is shown that a collisionless, relativistic kinetic gas configuration propagating in the equatorial plane of a Kerr black hole undergoes a relaxation process and eventually settles down to a stationary, axisymmetric configuration surrounding the black hole. The underlying mechanism for this relaxation process is due to phase space mixing, which...
Preprint
It is shown that a collisionless, relativistic kinetic gas configuration propagating in the equatorial plane of a Kerr black hole undergoes a relaxation process and eventually settles down to a stationary, axisymmetric configuration surrounding the black hole. The underlying mechanism for this relaxation process is due to phase space mixing, which...
Preprint
Full-text available
It is shown that a collisionless, relativistic kinetic gas configuration propagating in the equatorial plane of a Kerr black hole undergoes a relaxation process and eventually settles down to a stationary, axisymmetric configuration surrounding the black hole. The underlying mechanism for this relaxation process is due to phase space mixing, which...
Article
Full-text available
We provide a systematic study for the accretion of a collisionless, relativistic kinetic gas into a nonrotating black hole. To this end, we first solve the relativistic Liouville equation on a Schwarzschild background spacetime. The most general solution for the distribution function is given in terms of appropriate symplectic coordinates on the co...
Article
Full-text available
In previous work, we derived the most general solution of the collisionless Boltzmann equation describing the accretion of a kinetic gas into a Schwarzschild black hole background, and we gave explicit expressions for the corresponding observables (the current density and stress energy-momentum tensor) in terms of certain integrals over the distrib...
Article
Full-text available
In this work a setting for the "scale-field" is proposed at the level of effective action, which is consistent with the conservation of the stress-energy tensor. The mechanism and its potential is exemplified for scalar 4 theory and for Einstein-Hilbert-Maxwell theory.
Article
Full-text available
Allowing for scale dependence of the gravitational couplings leads to a generalization of the corresponding field equations. In this work, those equations are solved for the Einstein-Hilbert and the Einstein-Maxwell case, leading to generalizations of the (Anti)-de Sitter and the Reissner-Nordstr\"om black holes. Those solutions are discussed and c...
Article
Full-text available
The quest for finding self-consistent background solutions in quantum field theory is closely related to the way one decides to set renormalization scale $k$. This freedom in the choice of the scale setting can lead to ambiguities and conceptual inconsistencies such as the non-conservation of the stress-energy tensor. In this paper a setting for th...
Article
Full-text available
Black holes appear as vacuum solutions of classical general relativity which depend on Newton's constant and possibly the cosmological constant. At the level of a quantum field theory, these coupling constants typically acquire a scale-dependence. This proceedings briefly summarizes two complementary ways to incorporate this effect: the renormaliza...
Article
Full-text available
We study a black hole solution for the generalized Einstein Hilbert action with scale dependent couplings G(r) and Lambda(r). The form of the couplings is not imposed, but rather deduced from the existence of a non trivial symmetrical solution. A classical-like choice of the integration constants is found. Finally, the induced flow of the couplings...

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Projects

Project (1)
Project
The goal is to understand the behavior of a relativistic, kinetic gas in the presence of strong gravitational fields. This requires solving the Einstein-Boltzmann system of equations. Some applications we have in mind are: - Accretion of a kinetic gas into a black hole - Gravitational collapse of a kinetic gas cloud and the structure of the resulting spacetime singularities - Behavior of kinetic gas in the early Universe