Recent Submissions

  • Limiting curvature mimetic gravity and its relation to Loop Quantum Cosmology 

    Haro Cases, Jaume; Aresté Saló, Llibert; Pan, Supriya (2019-04-01)
    Article
    Restricted access - publisher's policy
    Considering 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 

    Aresté Saló, Llibert; Haro Cases, Jaume (2017-02-20)
    Article
    Open Access
    We 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 

    Arrizabalaga, Naiara; Mas Blesa, Albert (Cellule MathDoc/CEDRAM, 2019-06-12)
    Article
    Open Access
  • Klein's paradox and the relativistic d-shell interaction in R3 

    Mas Blesa, Albert (Mathematical Sciences Publishers, 2017-12-20)
    Article
    Open Access
    Under 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 

    Mas Blesa, Albert (2017-08-30)
    Article
    Open Access
    This 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 ...
  • The Peebles–Vilenkin quintessential inflation model revisited 

    Haro Cases, Jaume; Amorós Torrent, Jaume; Pan, Supriya (springer-Verlag, 2019-06-01)
    Article
    Open Access
    We review the well-known 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 s-minimal cones in R 3 are flat for s ~ 1 

    Cabré Vilagut, Xavier; Cinti, Eleonora; Serra, Joaquim (2019-01-01)
    Article
    Restricted access - publisher's policy
    We prove that half spaces are the only stable nonlocal s-minimal cones in R3, for s¿(0,1) sufficiently close to 1. This is the first classification result of stable s-minimal cones in dimension higher than two. Its proof ...
  • A gradient estimate for nonlocal minimal graphs 

    Cabré Vilagut, Xavier; Cozzi, Matteo (2019-04-01)
    Article
    Restricted access - publisher's policy
    We 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 reaction-diffusion-equations on finite metric graphs 

    Von Below, Joachim; Lubary Martínez, José Antonio (2018-12-01)
    Article
    Open Access
    We show that there are no stable stationary nonconstant solutions of the evolution problem (1) for fully autonomous reaction-diffusion-equations on the edges of a finite metric graph G under continuity and Kirchhoff flow ...
  • Different reheating mechanisms in quintessence inflation 

    Haro Cases, Jaume (American Physical Society (APS), 2019-02-11)
    Article
    Open Access
    Different well-known 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 

    Haro Cases, Jaume; Amorós Torrent, Jaume (American Physical Society (APS), 2018-03-15)
    Article
    Open Access
    We consider the Arnowitt-Deser-Misner 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 Moore-Gibson-Thompson equation 

    Pellicer, Marta; Solà-Morales Rubió, Joan de (2019-03-01)
    Article
    Open Access
    We study the third order in time linear dissipative wave equation known as the Moore-Gibson-Thompson equation, that appears as the linearization of a the Jordan-Moore-Gibson-Thompson equation, an important model in nonlinear ...

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