Uniqueness and nonuniqueness of static black holes in higher dimensions

We prove a uniqueness theorem for asymptotically flat static charged dilaton black-hole solutions in higher-dimensional space-times. We also construct infinitely many nonasymptotically flat regular static black holes on the same space-time manifold with the same spherical topology. An application to the uniqueness of a class of flat p-branes is also given.     

Quantum Einstein’s equations and constraints algebra

In this paper we shall address this problem: Is quantum gravity constraints algebra closed and what are the quantum Einstein’s equations. We shall investigate this problem in the de-Broglie-Bohm quantum theory framework. It is shown that the constraint algebra is weakly closed and the quantum Einstein’s equations are derived.     

PP-waves in the generalized Einstein theories

We present pp-waven solution to the generalized Einstein-Maxwell field theory introduced by Horndeski and to Mansouri-Chang theory of gravitation.     

Einstein Up in Smoke

Albert Einstein's biographers have not explained why he developed the abdominal aortic aneurysm that led to his death. Early conjectures proposed that it was caused by syphilis, without accurate evidence. The present article gives evidence to the contrary, and argues that the principal cause of Einstein’s death was smoking.     

Einstein and Cosmic Physics

The article gives an overview on Albert Einstein's activity in relation to geophysics. Various aspects of his fundamental investigations and their significance for geophysical research are discussed.     

爱因斯坦与宇宙常量

1917年，爱因斯坦发表了他的关于整个宇宙时空结构的理论——广义相对论。同时，他猜想宇宙是静止的，但是他的广义相对论方程的解却是时间的函数，也就是说，从广义相对论方程来看，宇宙是运动的，为了解决这一矛盾，爱因斯坦在方程中增加了新的一项——宇宙常数项，修改了他的方程。可是后来的天文学研究发现宇宙其实不是静止的，而是向外膨胀的，爱因斯坦很后悔在方程中增加了宇宙常数项，他也因此非常遗憾地错过了预言宇宙的膨胀。     

Cryogenics and Einstein Telescope

The dominant noises which limit the present sensitivity of the gravitational wave detectors are the thermal noise of the suspended mirrors and the shot noise. For the third generation of gravitational wave detectors as the Einstein Telescope (ET), the reduction of the shot noise implies to increase the power stored in the detector at 1 MW level and, at the same time, to compensate the huge optic distortion due to induced thermal lensing. At low temperature it is possible to reduce both these effects. However, lowering the temperature of the test masses without injecting vibration noise from the cooling system is a technological challenge. We review here the thermal noise impact on the ultimate ET sensitivity limit and we discuss possible cryogenic configurations to cool the mirror.     

爱因斯坦与诺贝尔奖

2005年是联合国确定的世界物理年，也叫爱因斯坦年．全世界用一整年的时间来纪念爱因斯坦发表5篇不朽文章（1905年）的100周年．1905年，爱因斯坦才26岁．这5篇文章是：     

Highly mobile Einstein spaces in the large

We consider an Einstein spaceV of the Petrov type II or III admitting a group of motionsG of high order. First we calculate the composition law and topological structure ofG. ThenV (or its submanifolds of transitivity) is represented as the homogeneous spaceG/H ofG,H being a subgroup ofG, and the actionG onV and the topology ofV are determined. The topologies of the spacesV are as follows: ⁴ (spaceT*₂), ⁴ of ³ T¹ (spaceT ₂), ⁴ (spaceT*₃), ³ (submanifolds of transitivity in spaceT ₃).In two cases (spacesT ₂ andT ₃) we have obtained metrics free of singularities.     

Electron diffusion and the Einstein relation in high-density gases

A model which used multiple-scattering theory to derive the density dependence of thermal electron mobilities, is employed to do the same for the diffusion coefficient. A surprising consequence of this is that the thermal Einstein relation is not the simple expression that is generally written and never verified, but rather one that depends on the density.     

On the nonuniqueness of solutions for nonlinear integral equations in radiative transfer theory

The nonuniqueness problem is considered for the nonlinear integral equations satisfied by the reflection and transmission matrices of homogeneous plane-parallel atmospheres. The analysis of the problems for semi-infinite and finite atmospheres is based on a recently developed biorthogonolity concept. Explicit expressions for nonphysical solutions are derived. The structure of these solutions reveal that iterative solution procedures may easily yield nonphysical results, if no proper attention is paid to certain linear constraints.     

Geometry of the Einstein and Yang-Mills equations

It is shown that the Einstein and Yang-Mills equations arise from the conditions for the space-time to be a submanifold of a pseudo-Euclidean space with dimension greater than 5. Some possible applications to cosmology, spin-2 fields, and geometrodynamics are discussed.     

Averaging out the Einstein equations

A general scheme to average out an arbitrary 4-dimensional Riemannian space and to construct the geometry of the averaged space is proposed. It is shown that the averaged manifold has a metric and two equi-affine symmetric connections. The geometry of the space is characterized by the tensors of Riemannian and non-Riemannian curvatures, an affine deformation tensor being the result of non-metricity of one of the connections. To average out the differential Bianchi identities, correlation 2-form, 3-form and 4-form are introduced and the differential relations on these correlations tensors are derived, the relations being integrable on an arbitrary averaged manifold. Upon assuming a splitting rule for the average of the product including a covariantly constant tensor, an averaging out of the Einstein equations has been carried out which brings additional terms with the correlation tensors into them. As shown by averaging out the contracted Bianchi identities, the equations of motion for the averaged energy-momentum tensor do also include the geometric correction terms. Considering the gravitational induction tensor to be the Riemannian curvature tensor (then the non-Riemannian one is the macroscopic gravitational field), a theorem that relates the algebraic structure of the averaged microscopic metric with that of the induction tensor is proved. Due to the theorem the same field operator as in the Einstein equations is manifestly extracted from the averaged ones. Physical interpretation and application of the relations and equations obtained to treat macroscopic gravity are discussed.     

Fermions and gauge fields in the Einstein static universe

Exact solutions of the massive Dirac equation are obtained in an SU(2) gauge field background in the Einstein static universe. The static, finite-energy gauge field used as background is the one obtained by continuing the meron-antimeron solution to this base space. The regular spinor solutions lead to a quantization condition.     

The cosmological term in the Einstein theory

It is proved that it is necessary to introduce in Einstein's equations a cosmological term proportional to the square of the λ-field strength which is related to the Lorentz group representation class ρμ = 0.