Interference phase of mass neutrino in Reissner-Nordstrm-de Sitter space-time

In Reissner-NordstrSm-de Sitter space-time, we calculate the interference phase of mass neutrino along geodesic in the radial direction, and then investigate the effects of the cosmological constant A on the phase. Morever, the expression of the interference phase can be reduced to that in Reissner-Nordstrom space-time when A approaches to zero.

Remarks on Complete Spacelike Hyper-surfaces with Constant Mean Curvature in the de Sitter Space

Let M be an n（≥ 3）-dimensional completely non-compact spacelike hypersurface in the de Sitter space S1^n＋1 （1） with constant mean curvature and nonnegative sectional curvature. It is proved that M is isometric to a hyperbolic cylinder or an Euclidean space if H ≥ 1. When 2√n-1/n〈 H 〈 1, there exists a complete rotation hypersurfaces which is not a hyperbolic cylinder.

Isoparametric Surfaces in 3-dimensional De Sitter Space and Anti-de Sitter Space

A spacelike surface M in 3-dimensional de sitter space S13 or 3-dimensional anti-de Sitter space H13 is called isoparametric, if M has constant principal curvatures. A timelike surface is called isoparametric, if its minimal polynomial of the shape operator is constant. In this paper, we determine the spacelike isoparametric surfaces and the timelike isoparametric surfaces in S13 and H13.

De Sitter Space as a Computational Tool for Surfaces and Foliations

The set of all spheres and hyperplanes in the Euclidean space Rn+1 could be identified with the Sitter space Λn+1. All the conformal properties are invariant by the Lorentz form which is natural pseudo-Riemannian metric on Λn+1. We shall study behaviour of some surfaces and foliations as their families using computation in the de Sitter space.

A Static Solution of Yang-Mills Equation on Anti-de Sitter Space

因为在广告空格的产品度量标准在 AdS/CFT 通讯的 Lorentz 版本起了一个很重要的作用，在有这个度量标准的广告空格的杨工厂方程被考虑，一个静态的解决方案在这篇论文被获得，它帮助理解杨工厂域的 AdS/CFT 通讯。

Thermodynamics of DBI Black Holes in Anti-de Sitter Spacetime

通过计量器领域理论，我们获得 DBI 广告黑洞的答案。根据在行动和宏大分区函数之间的关系，同时，我们在 DBI 广告黑洞里获得宏大分区函数。温度和 DBI 广告黑洞的潜力被获得从宏大分区功能微分。与热力学的关系，另外的热力学也被获得。溶液和 DBI 广告黑洞的热力学被生产他们能在四维的 spacetimes 归结为一个控告的黑洞的格。

ADM Mass for Asymptotically de Sitter Space-Time

In this paper,an ADM mass formula for asymptotically de Sitter(dS) space-time is derived from theenergy-momentum tensor.We take the vacuum dS space as the background and investigate the ADM mass of the(d + 3)-dimensional sphere-symmetric space with a positive cosmological constant,and find that the ADM mass ofasymptotically dS space is based on the ADM mass of Schwarzschild field and the cosmological background brings somesmall mass contribution as well.

Interference Phase of Neutrino Oscillation in Schwarzschild-de Sitter Space-Time

我们沿着空轨道和测地学的线在 Schwarzschild-de 保姆空间时间学习集体中微子干扰阶段并且在中微子摆动上获得宇宙论的常数的效果。在高精力限制，第一，我们发现阶段沿着测地学保留那双沿着 0。第二，我们在条件上计算阶段宇宙论的常数，，是小数量。阶段的修正由于被给。最后，我们在 Schwarzschild-de 保姆时空计算合适的摆动长度，因为存在，它增加，与在 Schwarzschild 时空的结果相比。所有能作为零的途径在 Schwarzschild 时空我们的结果被归结为那些。

Rigidity Theorems of Spacelike Submanifolds in de Sitter Spaces

在这份报纸，我们在 de 保姆空间学习紧缩的 spacelike submanifolds，在规范的吝啬的弯曲向量在正常 bundle.Using 是平行的假设下面概括 Cheng-Yau 的微分操作员，我们获得自然地概括一些存在结果的一些一般刚硬定理。

A New Characterization of Totally Umbilical Hypersurfaces in de Sitter Space

It is shown that a compact spacelike hypersurface which is contained in the chronological future (or past) of an equator of de Sitter space is a totally umbilical round sphere if the kth mean curvature function Hk is a linear combination of Hk+1,…, Hn. This is a new angle to characterize round spheres.

Generalized Elastica in Anti-de Sitter Space H_1~3

在这份报纸，在 3-dimensional Anti-de 保姆空间的非空的 Frenet 曲线上的弯曲精力行动的 extremals 被学习。我们完全由照解决 Euler-Lagrange 方程。由使用杀死的域，我们为充分在 Anti-de 保姆空间 H13 沉浸的关上的概括 elastica 获得存在。

Integral Formulas for Compact Spacelike Hypersurfaces in de Sitter Space and their Applications to Goddard's Conjecture

We establish integral formulas of Minkowski’s type for compact spacelike hypersurfaces in de sitter space S1n+1（1）and give their applications to the case of constant r-th mean curvature （r=1,2,…,n-1）.When r=1 we recover Montiel’s result.

Cohomogeneity One de Sitter Space S1 n

In this paper we study the cohomogeneity one de Sitter space S1 n. We consider the actions in both proper and non-proper cases. In the first case we characterize the acting groups and orbits and we prove that the orbit space is homeomorphic to R. In the latter case we determine the groups and consequently the orbits in some different cases and prove that the orbit space is not Hausdorff.

Entropy of higher-dimensional charged Gauss–Bonnet black hole in de Sitter space

The fundamental equation of the thermodynamic system gives the relation between the internal energy, entropy and volume of two adjacent equilibrium states. Taking a higher-dimensional charged Gauss–Bonnet black hole in de Sitter space as a thermodynamic system, the state parameters have to meet the fundamental equation of thermodynamics. We introduce the effective thermodynamic quantities to describe the black hole in de Sitter space. Considering that in the lukewarm case the temperature of the black hole horizon is equal to that of the cosmological horizon, we conjecture that the effective temperature has the same value. In this way, we can obtain the entropy formula of spacetime by solving the differential equation. We find that the total entropy contains an extra term besides the sum of the entropies of the two horizons. The corrected term of the entropy is a function of the ratio of the black hole horizon radius to the cosmological horizon radius, and is independent of the charge of the spacetime.

Gaupta-Bleuler triplet for massless spin-3/2 field in de Sitter space

Physicists have been interested in quantization of spinor and vector free fields in 4-dimensional de Sitter space-time, in ambient space notation. The Gupta-Bleuler formalism has been extensively applied to the quantization of gauge invariant theories. The field equation of the massless spin-3/2 fields is gauge invariant in de Sitter space. In this paper, we study the quantization of massless spin-3/2 gauge fields in de Sitter space-time by the Gupta-Bleuler formalism. This triplet carries an indecomposable representation of the de Sitter group.

One Electron Atom in Special Relativity with de Sitter Space-Time Symmetry(Ⅱ): ——Higher Order Contributions

This is a follow of previous work entitled "One Electron Atom in Special Relativity with de Sitter SpaceTime Symmetry" [Commun. Theor. Phys. 57(2012) 930]. In this paper, we consider the higher order calculations and contributions in the previous framework to solve one electron atoms in de Sitter invariant relativistic quantum mechanics. The next-to-leading-order calculations in 1/R2-expansions show that the fine-structure constant α is variant with cosmologic time going by in the de Sitter invariant special relativistic quantum mechanics with standard FRW cosmologic model.

One Electron Atom in Special Relativity with de Sitter Space-Time Symmetry

The de Sitter invariant Special Relativity(dS-SR) is SR with constant curvature,and a natural extension of usual Einstein SR(E-SR).In this paper,we solve the dS-SR Dirac equation of Hydrogen by means of the adiabatic approach and the quasi-stationary perturbation calculations of QM.Hydrogen atom is located in the light cone of the Universe.FRW metric and ΛCDM cosmological model are used to discuss this issue.To the atom,effects of de Sitter space-time geometry described by Beltrami metric are taken into account.The dS-SR Dirac equation turns out to be a time dependent quantum Hamiltonian system.We reveal that:(i) The fundamental physics constants m e,,e variate adiabatically along with cosmologic time in dS-SR QM framework.But the fine-structure constant α≡ e 2 /(c) keeps to be invariant;(ii)(2s 1/2-2p 1/2)-splitting due to dS-SR QM effects:By means of perturbation theory,that splitting E(z) are calculated analytically,which belongs to O(1/R 2)-physics of dS-SR QM.Numerically,we find that when |R| {10 3 Gly,10 4 Gly,10 5 Gly},and z {1,or 2},the E(z) 1(Lamb shift).This indicates that for these cases the hyperfine structure effects due to QED could be ignored,and the dS-SR fine structure effects are dominant.This effect could be used to determine the universal constant R in dS-SR,and be thought as a new physics beyond E-SR.

Complete Space－like Submanifolds in a de Sitter Space with Parallel Mean CurvatureVector

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Gauge theory of massless spin-3/2 field in de Sitter space-time

On several levels of theoretical physics, especially particle physics and early universe cosmology, de Sitter space-time has become an attractive possibility. The principle of local gauge invariance governs all known fundamental interactions of elementary particles, from electromagnetism and weak interactions to strong interactions and gravity. This paper presents a procedure for defining the gauge-covariant derivative and gauge invariant Lagrangian densityin de Sitter ambient space-time formalism. The gauge invariant field equation is then explicitly calculated in detailfor a massless spit 3/2gauge field.