The Einstein Constant c in Light of Mach's Principle. Cosmological Applications

In a recent paper, O. Costa de Beauregard shows that Mach's conjecture can be expressed by the equation U=c ² (U denoting the cosmological potential). This result leads us to a geometrical interpretation of Einstein's constant c (the so-called velocity of light) which appears as intimately connected to the expansion of the universe. We also present some cosmological consequences of that interpretation for the horizon problem, for the problem of the homogeneity of the cosmic background radiation, and for the problem of the flatness of the universe.     

Lanczos Potential for the Gödel Cosmological Model

Using a Lovelock's theorem we obtain the Lanczos spintensor for the Gödel's metric.     

Can massive gravitons be an alternative to dark energy?

In this work, we explore some cosmological implications of the model proposed by M. Visser in 1998. In his approach, Visser intends to take into account mass for the graviton by means of an additional bimetric tensor in the Einstein?s field equations. Our study has shown that a consistent cosmological model arises from the Visser?s approach. The most interesting feature is that an accelerated expansion phase naturally emerges from the cosmological model, and we do not need to postulate any kind of dark energy to explain the current observational data for distant type Ia supernovae (SNIa).     

物质结构在夸克-轻子层次上的动力学规律和研究发展趋势

文章综述了粒子物理中标准模型理论的历史发展、面临挑战以及未来的发展趋势.目前阶段物质结构最小组成单元是夸克和轻子,量子色动力学是描述夸克-胶子之间强相互作用的基本理论,它具有渐近自由和夸克禁闭的特点.量子色动力学和电弱统一理论一起构成粒子物理中标准模型理论.标准模型理论成功同时也面临两大挑战:对称性破缺的本质和夸克禁闭难题,这意味着标准模型理论需要发展和突破.人们期望粒子物理学、天文学和宇宙学交叉发展联手解决物质结构和早期宇宙研究中面临的难题,最终揭示超出标准模型的新物理规律.     

Global solutions of a radiative and reactive gas with self‐gravitation for higher‐order kinetics

The existence of global solutions is established for compressible Navier–Stokes equations by taking into account the radiative and reactive processes, when the heat conductivity κ (κ₁(1 + θ^q) ≤ κ ≤ κ₂(1 + θ^q),q ≥ 0), where θ is the temperature. This improves the previous results by enlarging the scope of q including the constant heat conductivity. Copyright © 2012 John Wiley & Sons, Ltd.     

Global Existence of Classical Solutions of the Nordström–Vlasov System in Two Space Dimensions

ABSTRACT

The dynamics of a self-gravitating ensemble of collisionless particles is modeled by the Nordström–Vlasov system in the framework of the Nordström scalar theory of gravitation. For this system in two space dimensions, integral representations of the first-order derivatives of the field are derived. Using these representations we show global existence of smooth solutions for large data.     

双星运行轨道的研究

文章首先把双星运动看做二体问题,研究以一个星体为参照系,另一个星体的轨迹为圆锥曲线,以系统的质心为参照系,每一个星体的轨迹也是圆锥曲线,然后提出了行星与恒星之间也是双星现象,地球与月球之间也是双星现象,解释了困扰物理学与天文学多年的行星运行轨道的共面性、公转的同向性难题,指出了研究行星运行轨道时惯性质量应当用折合质量计算。     

A note on teleparallel Killing vector fields in Bianchi type VIII and IX spaceben times in teleparallel theory of gravitation

In this paper we classify Bianchi type VIII and IX space—times according to their teleparallel Killing vector fields in the teleparallel theory of gravitation by using a direct integration technique. It turns out that the dimensions of the teleparallel Killing vector fields are either 4 or 5. From the above study we have shown that the Killing vector fields for Bianchi type VIII and IX space—times in the context of teleparallel theory are different from that in general relativity.     

Cosmology in Eddington-Inspired Gravity

In this paper, we study the cosmological evolution of the universe filled with the perfect fluid in the Eddington-inspired Born-Infeld gravity, proposed recently by Banados and Ferreira. Applying a method in which the evolution of the scale factor is regarded as that of a particle moving in a potential, we show all possible cases of cosmological evolution.