We analyze the attractor behaviour of the inflation field in braneworld scenarios using the Hamilton-Jacobi formalism, where the Friedmann equation has the form ofH2 = p ＋ εx/2poporH2 = p ＋εp2/2σ, with ε = ±...We analyze the attractor behaviour of the inflation field in braneworld scenarios using the Hamilton-Jacobi formalism, where the Friedmann equation has the form ofH2 = p ＋ εx/2poporH2 = p ＋εp2/2σ, with ε = ±1. We find that in all models the linear homogeneous perturbation can decay exponentially as the scalar field rolls down its potential. However, in the case of a -p2 correction to the standard cosmology with p 〈 or, the existence of an attractor solution requires （σ- p）/φ2 〉 1. Our results show that the perturbation decays more quickly in models with positive-energy correction than in the standard cosmology, which is opposite to the case of negative-energy correction. Thus, the positive-energy modification rather than the negative one can assist the inflation and widen the range of initial conditions.展开更多
In this paper, we study a realistic model of quintessential inflation with radiation and matter. By the analysis of the dynamical system and numerical work about the evolution of the equation of state and cosmic densi...In this paper, we study a realistic model of quintessential inflation with radiation and matter. By the analysis of the dynamical system and numerical work about the evolution of the equation of state and cosmic density parameter, we show that this model is a good match for the current astronomical observation. The conclusion we obtain is in favour of the model where the modular part of the complex field plays the role of the infiaton whereas the argument part is the quintessence field. Numerical calculation shows that a heteroclinic orbit （solution of the dynamical system） is interpolated between early-time de Sitter phase （an unstable critical point） and a late-time de Sitter attractor.展开更多
We investigate the existence and the continuity of the inflated attractors for a class of non–autonomous strongly damped wave equations through differential inclusion.
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 10935013, 11175093, 11222545, and 11075083)the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Z6100077 and R6110518)+2 种基金the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No. 200922)the National Basic Research Program of China (Grant No. 2010CB832803)K. C. Wong Magna Fund in Ningbo University of China
文摘We analyze the attractor behaviour of the inflation field in braneworld scenarios using the Hamilton-Jacobi formalism, where the Friedmann equation has the form ofH2 = p ＋ εx/2poporH2 = p ＋εp2/2σ, with ε = ±1. We find that in all models the linear homogeneous perturbation can decay exponentially as the scalar field rolls down its potential. However, in the case of a -p2 correction to the standard cosmology with p 〈 or, the existence of an attractor solution requires （σ- p）/φ2 〉 1. Our results show that the perturbation decays more quickly in models with positive-energy correction than in the standard cosmology, which is opposite to the case of negative-energy correction. Thus, the positive-energy modification rather than the negative one can assist the inflation and widen the range of initial conditions.
基金Project supported by the National Nature Science Foundation of China （Grant No 10473007） and the Shanghai Rising-Star Program （Grant No 02QA14033）.
文摘In this paper, we study a realistic model of quintessential inflation with radiation and matter. By the analysis of the dynamical system and numerical work about the evolution of the equation of state and cosmic density parameter, we show that this model is a good match for the current astronomical observation. The conclusion we obtain is in favour of the model where the modular part of the complex field plays the role of the infiaton whereas the argument part is the quintessence field. Numerical calculation shows that a heteroclinic orbit （solution of the dynamical system） is interpolated between early-time de Sitter phase （an unstable critical point） and a late-time de Sitter attractor.
文摘We investigate the existence and the continuity of the inflated attractors for a class of non–autonomous strongly damped wave equations through differential inclusion.
