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In this paper we analyse non-supersymmetric single centred extremal black hole solutions in N=2 supergravity theory coupled to $n$ vector multiplets with purely cubic pre-potential in four dimensions. We consider the algebraic attractor…

High Energy Physics - Theory · Physics 2017-05-03 Prasanta K. Tripathy

A well-known diffuse interface model for incompressible isothermal mixtures of two immiscible fluids consists of the Navier-Stokes system coupled with a convective Cahn-Hilliard equation. In some recent contributions the standard…

Analysis of PDEs · Mathematics 2013-01-14 Sergio Frigeri , Maurizio Grasselli , Pavel Krejčí

We review the paradigm of holographic dark energy (HDE), which arises from a theoretical attempt of applying the holographic principle (HP) to the dark energy (DE) problem. Making use of the HP and the dimensional analysis, we derive the…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-24 Shuang Wang , Yi Wang , Miao Li

Mean field modeling is a popular approach to assess the performance of large scale computer systems. The evolution of many mean field models is characterized by a set of ordinary differential equations that have a unique fixed point. In…

Performance · Computer Science 2019-04-18 Benny Van Houdt

This work is focused on the dissipative system describing the dynamics of an extensible thermoelastic beam, where the dissipation is entirely contributed by the second equation ruling the evolution of the temperature. Under natural boundary…

Dynamical Systems · Mathematics 2009-01-28 C. Giorgi , M. G. Naso , V. Pata , M. Potomkin

The extended holographic dark energy model with the Hubble horizon as the infrared cutoff avoids the problem of the circular reasoning of the holographic dark energy model. Unfortunately, it is hit with the no-go theorem. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Jie Liu , Yungui Gong , Ximing Chen

While a scalar field with a pole in its kinetic term is often used to study the cosmological inflation, it can also play the role of dark energy, which is called the pole dark energy model. We propose a generalized model that the scalar…

General Relativity and Quantum Cosmology · Physics 2021-02-26 Chao-Jun Feng , Xiang-Hua Zhai , Xin-Zhou Li

A six parameter cosmological model, involving a vacuum energy density that is extremely tiny compared to fundamental particle physics scales, describes a large body of increasingly accurate astronomical data. In a first part of this brief…

High Energy Physics - Phenomenology · Physics 2009-11-11 Norbert Straumann

We perform a detailed dynamical analysis of the teleparallel dark energy scenario, which is based on the teleparallel equivalent of General Relativity, in which one adds a canonical scalar field, allowing also for a nonminimal coupling with…

General Relativity and Quantum Cosmology · Physics 2012-07-09 Chen Xu , Emmanuel N. Saridakis , Genly Leon

We look at dark energy from a biology inspired viewpoint by means of the Approximate Bayesian Computation (ABC) and late time cosmological observations. We find that dynamical dark energy comes out on top, or in the ABC language naturally…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-27 Reginald Christian Bernardo , Daniela Grandón , Jackson Levi Said , Víctor H. Cárdenas

We investigate the cosmological evolution of the power law K-essence dark energy (DE) model $F(X)= -\sqrt{X} + X$ with a new interaction $Q = \alpha\rho _m\rho _{\phi }H^{-1}$ in FRWL spacetime. The evolution behavior of dark energy under…

General Relativity and Quantum Cosmology · Physics 2022-01-21 Qile Zhang , Wei Fang , Chenggang Shu

Scalar fields are favorite among the possible candidates for the dark energy. Most frequently discussed are those with degenerate minima at $\pm \phi_{min}$. In this paper, a slightly modified two-Higgs doublet model is taken to contain the…

High Energy Physics - Phenomenology · Physics 2024-07-26 Muhammad Usman , Asghar Qadir

In this paper, the dynamical attractor and heteroclinic orbit have been employed to make the late-time behaviors of the model insensitive to the initial condition and thus alleviate the fine-tuning problem in the torsion cosmology. The…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Xin-zhou Li , Chang-bo Sun , Ping Xi

We study the dynamics of the quintom dark energy model using state-of-the-art cosmological observations. The set of equations has been converted into an autonomous system using suitable transformations of the variables. We have discussed…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-08 Nandan Roy , L Arturo Ureña-López

We give a detailed study of the infinite-energy solutions of the Cahn-Hilliard equation in the 3D cylindrical domains in uniformly local phase space. In particular, we establish the well-posedness and dissipativity for the case of regular…

Analysis of PDEs · Mathematics 2010-05-20 A. Eden , V. K. Kalantarov , S. V. Zelik

A dual component made of non-relativistic particles and a scalar field, exchanging energy, naturally falls onto an attractor solution, making them a (sub)dominant part of the cosmic energy during the radiation dominated era, provided that…

Cosmology and Nongalactic Astrophysics · Physics 2012-08-15 Silvio A. Bonometto , Giandomenico Sassi , Giuseppe La Vacca

One of the great endeavors of the past decade has been the evaluation of different observational techniques for measuring dark energy properties and of theoretical techniques for constraining models of cosmic acceleration given cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-28 Eric V. Linder

We study the Ricci dark energy model (RDE) which was introduced as an alternative to the holographic dark energy model. We point out that an accelerating phase of the RDE is that of a constant dark energy model. This implies that the RDE…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Kyoung Yee Kim , Hyung Won Lee , Yun Soo Myung

In the present work, we investigate the universe dominated by quintom or hessence energies in Loop Quantum Cosmology (LQC). Interestingly enough, we find that there are some stable attractors in these two cases. In the case of quintom, all…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hao Wei , Shuang Nan Zhang

A set of temporal singularities (transients) in the mass-energy density and pressure, bearing a specific mathematical structure which represents a new solution to the continuity equation (\ie~conservation of mass-energy) and satisfying the…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Richard Lieu
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