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

We study the mass neutrino interference phase in Schwarzschild-de Sitter space time along the null trajectory and the geodesic line and obtain the effects of cosmological constant A on the neutrino oscillation. Firstly, in the high energy limit, we find that the phase along the geodesic keeps the double of that along the null. Secondly, we calculate the phase on the condition that the cosmological constant, A, is a small quantity. The correction of the phase due to A is given. Finally, we calculate the proper oscillation length in Schwarzschild-de Sitter space-time, which increases because of the existence of A, compared with the result in Schwarzschild space-time. All of our results can be reduced to those in Schwarzschild space-time as A approaches to zero.

对高维Schwarzschild-de Sitter黑洞视界处Fermions量子隧穿辐射率的修正

根据Lorentz-breaking理论对弦量场作用量进行修正并应用变分原理得到了高维Schwarzschild-de Sitter黑洞时空中的费米子动力学方程。通过对此动力学方程的研究得到了高维Schwarzschild-de Sitter黑洞事件视界处和宇宙视界处的量子隧穿率的修正形式,从而研究了此黑洞事件视界处和宇宙视界处的修正形式的Hawking温度和Bekenstein-Hawking熵的新的表达式。在得到研究结果的基础之上,文中最后还对研究方法和结论进行了讨论。

Schwarzschild-de Sitter度规下旋量场方程的解

给出Schwarzschild-de Sitter(SdS)度规下旋量场方程,用一正切函数模拟变换后的乌龟坐标r*与普通坐标r的函数关系,从而将势能表示为r*的函数.将势能用一组阶梯函数代替,利用量子力学理论求出波函数的数值解.

非热平衡Schwarzschild-de Sitter黑洞的熵

从 Schwarzschild- de Sitter时空背景下的 Klein- Gordon方程出发 ,利用 brick- wall方法计算了黑洞的自由能和熵 .这种黑洞由于存在两个视界面 ,而且它们的温度不相同 ,因此用一般方法计算熵存在着一定的困难 .采用改进的 brick- wall模型 ,认为自由能和熵主要来自于视界附近薄层的贡献 ,很好地解决了这一困难 ,并得到了满意的结果 .结果表明 ,这种黑洞的熵为它的两个视界面积之和的 1 /4,与人们预期的结果相符 .由此可见 ,渐近 de Sitter时空中的黑洞熵除了黑洞视界面的贡献之外 ,还应包括宇宙视界面的贡献 .这从一定程度上揭示了黑洞熵与视界面积之间的内在联系 ,也更进一步地揭示了 brick-

任意维Schwarzschild-de Sitter黑洞的Hawking隧穿辐射

运用Parikh模型,研究任意维Schwarzschild-de Sitter(SdS)黑洞的Hawking隧穿辐射.结果表明,黑洞视界处的隧穿率依赖于Bekenstein-Hawking(BH)熵的变化,如果考虑到熵的变化按出射粒子能量展开式中的高次项,辐射谱不再是纯热的谱.

Anti-de Sitter空间中的线性Weingarten类空超曲面

设M n是Anti-de Sitter空间H 1 n+1(-1)中的n维紧致线性Weingarten类空超曲面,使得R=aH+b(a,b是常数),且(n-1)a 2-4n(1+b)≥0,其中R和H分别是M n的标准数量曲率和平均曲率。证明了如果M n的第二基本形模长的平方S满足S≤nH 2+(B)2,或S≥nH 2+(B H+)2,或n≤S≤(n-1)nR+2/n-2+n-2/nR+2(R=-1-R),那么M n是全脐的,其中B和B H+是多项式P_(H)(x)=x ^(2)-n(n-2)n(n-1)|H|x-n-nH^(2)的两个实根。

On the Compact Spacelike Hypersurfaces in de Sitter Space

In this paper, two properties of compact spacelike hypersurfaces in de Sitter space are obtained. When r =1, we recover Montiel's result.

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.

Thermodynamics of DBI Black Holes in Anti-de Sitter Spacetime

Through the gauge field theory, we obtain the solution of the DBI-AdS black hole, In the meantime, according to the relations between the action and the grand partition function, we obtain the grand partition function in the DBI-AdS black hole. The temperature and the potential of the DBI-AdS black hole are gained from differential of the grand partition function. With the thermodynamic relations, other thermodynamics are also obtained. The solution and the thermodynamics of the DBI-AdS black hole are turned out that they can reduce to the case of a charged black hole in four-dimensional spacetimes.

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

Since product metric on AdS space has played a very important role in Lorentz version of AdS/CFT correspondence, the Yang Mills equation on AdS space with this metric is considered and a static solution is obtained in this paper, which helps to understand the AdS/CFT correspondence of Yang Mills fields.

Rigidity Theorems of Spacelike Submanifolds in de Sitter Spaces

In this paper,we study the compact spacelike submanifolds in the de Sitter space,under the assumption that the normalized mean curvature vector is parallel in the normal bundle.Using the generalized Cheng-Yau＇s differential operator,we obtain some general rigidity theorems which naturally generalize some existing results.

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.

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

Complete space-like submanifolds in a de Sitter Space with parallel mean curvature vector are investigated, a main Theorem for M to be totally umbilical is obtained.

Generalized Elastica in Anti-de Sitter Space H_1~3

In this paper,the extremals of curvature energy actions on non-null Frenet curves in 3-dimensional Anti-de Sitter space are studied.We completely solve the Euler-Lagrange equation by quadratures.By using the Killing fields,we obtain existence for closed general-ized elastica fully immersed in Anti-de Sitter space H_1~3.

Einstein’s General Relativity and Pure Gravity in a Cosserat and De Sitter-Witten Spacetime Setting as the Explanation of Dark Energy and Cosmic Accelerated Expansion

Ordinary energy and dark energy density are determined using a Cosserat-Cartan and killing-Yano reinterpretation of Einstein’s special and general relativity. Thus starting from a maximally symmetric space with 528 killing vector fields corresponding to Witten’s five Branes model in eleven dimensional M-theory we reason that 504 of the 528 are essentially the components of the relevant killing-Yano tensor. In turn this tensor is related to hidden symmetries and torsional coupled stresses of the Cosserat micro-polar space as well as the Einstein-Cartan connection. Proceeding in this way the dark energy density is found to be that of Einstein’s maximal energy mc2 where m is the mass and c is the speed of light multiplied with a Lorentz factor equal to the ratio of the 504 killing-Yano tensor and the 528 states maximally symmetric space. Thus we have E (dark) = mc2 (504/528) = mc2 (21/22) which is about 95.5% of the total maximal energy density in astounding agreement with COBE, WMAP and Planck cosmological measurements as well as the type 1a supernova analysis. Finally theory and results are validated via a related theory based on the degrees of freedom of pure gravity, the theory of nonlocal elasticity as well as ‘t Hooft-Veltman renormalization method.

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.

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.

DeSitter空间的2-调和超曲面

设 M是 de sitter空间 Sn+1 1 (1 )的紧致 2 -调和类空超曲面 ,获得了关于 M的第二基本形式模长平方的