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Limiting curvature mimetic gravity and its relation to Loop Quantum Cosmology
(20190401)
Article
Restricted access  publisher's policyConsidering 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
(20170220)
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, 20190612)
Article
Open Access 
Klein's paradox and the relativistic dshell interaction in R3
(Mathematical Sciences Publishers, 20171220)
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 dshell interaction in R3: Spectrum and approximation
(20170830)
Article
Open AccessThis note revolves on the free Dirac operator in R3 and its dshell interaction with electrostatic potentials supported on a sphere. On one hand, we characterize the eigenstates of those couplings by finding sharp constants ... 
The Peebles–Vilenkin quintessential inflation model revisited
(springerVerlag, 20190601)
Article
Open AccessWe review the wellknown Peebles–Vilenkin (PV) quintessential inflation model and discuss its possible improvements in agreement with the recent observations. The improved PV model depends only on two parameters: the ... 
Stable sminimal cones in R 3 are flat for s ~ 1
(20190101)
Article
Restricted access  publisher's policyWe prove that half spaces are the only stable nonlocal sminimal cones in R3, for s¿(0,1) sufficiently close to 1. This is the first classification result of stable sminimal cones in dimension higher than two. Its proof ... 
A gradient estimate for nonlocal minimal graphs
(20190401)
Article
Restricted access  publisher's policyWe consider the class of measurable functions defined in all of Rn that give rise to a nonlocal minimal graph over a ball of Rn. We establish that the gradient of any such function is bounded in the interior of the ball ... 
Stability implies constancy for fully autonomous reactiondiffusionequations on finite metric graphs
(20181201)
Article
Open AccessWe show that there are no stable stationary nonconstant solutions of the evolution problem (1) for fully autonomous reactiondiffusionequations on the edges of a finite metric graph G under continuity and Kirchhoff flow ... 
Different reheating mechanisms in quintessence inflation
(American Physical Society (APS), 20190211)
Article
Open AccessDifferent wellknown ways to reheat the Universe, such as instant preheating, the creation of particles nearly or conformally coupled with gravity, or from the decay of products of a curvaton field, are revisited and ... 
Bouncing cosmologies via modified gravity in the ADM formalism: Application to loop quantum cosmology
(American Physical Society (APS), 20180315)
Article
Open AccessWe consider the ArnowittDeserMisner formalism as a tool to build bouncing cosmologies. In this approach, the foliation of the spacetime has to be fixed in order to go beyond general relativity modifying the gravitational ... 
Optimal scalar products in the MooreGibsonThompson equation
(20190301)
Article
Open AccessWe study the third order in time linear dissipative wave equation known as the MooreGibsonThompson equation, that appears as the linearization of a the JordanMooreGibsonThompson equation, an important model in nonlinear ...