# Paola RiosecoUniversity of Chile · Centro de Modelamiento Matemático (CMM)

Paola Rioseco

Postdoc

Postdoc researcher University of Chile (CMM)

## About

15

Publications

1,066

Reads

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231

Citations

Citations since 2016

Introduction

Additional affiliations

March 2013 - December 2015

Education

February 2015 - March 2019

## Publications

Publications (15)

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 $\langle \mathrm{time} \rangle^{-1}$.

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...

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...

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...

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...

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...

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...

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...

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...

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...

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.

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...

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...

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...

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...

## Projects

Project (1)

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