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The spectrum of gravitational waves, their overproduction in quintessential inflation and its influence in the reheating temperature
(2020-06-01)
Article
Open AccessOne of the most important issues in an inflationary theory as standard or quintessential inflation is the mechanism to reheat the universe after the end of the inflationary period in order to match with the Hot Big Bang ... -
Understanding the phenomenology of interacting dark energy scenarios and their theoretical bounds
(American Physical Society (APS), 2020-06-15)
Article
Open AccessNongravitational interaction between dark matter and dark energy has been considered in a spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) universe. The interaction rate is assumed to be linear in the energy ... -
Scaling solutions in quintessential inflation
(springer-Verlag, 2020-05)
Article
Open AccessIn quintessence scalar field theories, the presence of scaling solutions are important during the radiation and matter epoch due to having their attractor character. Usually, it is assumed that the initial conditions of ... -
Shell interactions for Dirac operators: on the point spectrum and the confinement
(2015-03-10)
Article
Open AccessSpectral properties and the confinement phenomenon for the couplingH+Varestudied, whereH=-ia·¿+mßis the free Dirac operator inR3andVis a measure-valuedpotential. The potentialsVunder consideration are given in terms of ... -
A new proof of the boundedness results for stable solutions to semilinear elliptic equations
(American Institute of Mathematical Sciences, 2019-12-01)
Article
Open AccessWe consider the class of stable solutions to semilinear equations -¿u=f(u) in a bounded smooth domain of Rn. Since 2010 an interior a priori L8 bound for stable solutions is known to hold in dimensions n=4 for all C1 ... -
An example on Lyapunov stability and linearization
(2020-01-01)
Article
Restricted access - publisher's policyThe purpose of this paper is to present an example of a (in the Fréchet sense) discrete dynamical system in a infinite-dimensional separable Hilbert space for which the origin is an exponentially asymptotically stable ... -
Harmonic functions on metric graphs under the anti-Kirchhoff law
(2019-03-01)
Article
Open AccessWhen does an infinite metric graph allow nonconstant bounded harmonic functions under the anti-Kirchhoff transition law? We give a complete answer to this question in the cases where Liouville’s theorem holds, for trees, ... -
Limiting curvature mimetic gravity and its relation to Loop Quantum Cosmology
(2019-04-01)
Article
Open AccessConsidering as usual that the underlying geometry of our universe is well described by the spatially flat Friedmann–Lemaître–Robertson–Walker line element, we review how the background of holonomy corrected Loop Quantum ... -
Cosmological solutions in spatially curved universes with adiabatic particle production
(2017-02-20)
Article
Open AccessWe perform a qualitative and thermodynamic study of two models when one takes into account adiabatic particle production. In the first one, there is a constant particle production rate, which leads to solutions depicting ... -
The MIT Bag Model as an infinite mass limit
(Cellule MathDoc/CEDRAM, 2019-06-12)
Article
Open Access -
Klein's paradox and the relativistic d-shell interaction in R3
(Mathematical Sciences Publishers, 2017-12-20)
Article
Open AccessUnder certain hypotheses of smallness on the regular potential V, we prove that the Dirac operator in Unexpected text node: 'R', coupled with a suitable rescaling of V, converges in the strong resolvent sense to the ... -
The relativistic spherical d-shell interaction in R3: Spectrum and approximation
(2017-08-30)
Article
Open AccessThis note revolves on the free Dirac operator in R3 and its d-shell interaction with electrostatic potentials supported on a sphere. On one hand, we characterize the eigenstates of those couplings by finding sharp constants ...
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