Thermodynamics of de Sitter Black Holes in Massive Gravity

In this paper, by taking de Sitter space-time as a thermodynamic system, we study the effective thermodynamic quantities of de Sitter black holes in massive gravity, and furthermore obtain the effective thermodynamic quantities of the space-time. Our results show that the entropy of this type of space-time takes the same form as that in Reissner-Nordstr¨om-de Sitter space-time, which lays a solid foundation for deeply understanding the universal thermodynamic characteristics of de Sitter space-time in the future. Moreover, our analysis indicates that the effective thermodynamic quantities and relevant parameters play a very important role in the investigation of the stability and evolution of de Sitter space-time.     

运动平台混响的时空耦合统计模型

混响时空耦合特性是空时处理混响抑制方法中的关键问题之一。传统方法不是建立在统计模型基础上的,对实际海洋混响扩展、海洋混响环境影响及基阵非理想性导致的混响时空耦合分析缺乏有效性。论文在混响概率模型基础上,推导了运动平台的混响时空耦合关系,进一步给出了复杂水声混响环境及具体阵列指向特性下的混响时空耦合规律的统计模型。利用该模型,推导了理想窄波束基阵混响的时空耦合关系。理论解析结果和计算机仿真清晰地展示了理想阵列流形的混响时空分布规律,验证了本文理论推导结果的正确性。最后采用数值计算方法分析非理想基阵的混响空时耦合关系及空时分布规律,结果表明利用本文的混响空时耦合模型,能获得实际基阵的混响空时分布规律,可为空时处理混响抑制算法与系统设计提供一定的理论支撑。      

The space-time coupling statistical model of reverberation from moving platforms

The space-time coupling characteristic of reverberation is one of key problems in the range of reverberation suppression with space-time processing methods.Traditional methods are not based on statistical characteristics of reverberation and not suitable to analyze the space-time coupling characteristics of reverberation in dealing with problems of reverberation extensions in the actual sea environment and non-ideal arrays.The space-time coupling relationship of moving platforms is deduced and then its space-time coupling statistical model is presented.The model describes the space-time coupling law of reverberation under the conditions as complex acoustic reverberation environments and an arbitrarily specified array.The mathematical expressions of space-time coupling relationship are described when the arrays have ideal narrow beams.The space-time distribution laws of reverberation from moving platforms are shown clearly by the analytical results and computer simulations,which validates the statistical model above.The space-time distribution law of reverberation from an uniform linear array(ULA),which is a non-ideal array,is also calculated by numerical methods.It is shown that the space-time distribution law of reverberation from any actual array can be acquired with the statistical model,and to support theoretically for reverberation suppression algorithms and systems design based on space-time processing.     

The geometrical form for the string space-time action

In the present article, we derive the space-time action of the bosonic string in terms of geometrical quantities. First, we study the space-time geometry felt by a probe bosonic string moving in antisymmetric and dilaton background fields. We show that the presence of the antisymmetric field leads to space-time torsion, and the presence of the dilaton field leads to space-time non-metricity. Using these results we obtain the integration measure for space-time with stringy non-metricity, requiring its preservation under parallel transport. We derive the Lagrangian depending on stringy curvature, torsion and non-metricity.     

Quantized space-time,torsion, and magnetic monopoles

Within the tetrad formalism we introduce quantized space-time in the curvilinear case by using general coordinate transformations with noncommuting terms. Fermion and boson fields are studied and the affine connection is also defined in this space. It is shown that space-time torsion and magnetic monopoles appear as consequences of the theory with quantized space-time at small distances. This method may open a new way of understanding topological structure of space-time.     

Construction and properties of space-timeb-boundaries

A criterion is given for two curves of finite generalized affine length to define the same point of the b-boundary of a space-time. It is shown that the b-boundary can be constructed on every closed subbundle of the bundle of linear frames to which the Levi-Civita connection is reducible. It follows that, for any product space-time, the space-time together with its b-boundary is homeomorphic to a product of pseudo-Riemannian spaces with b-boundary. Furthermore, it is shown that maps of one space-time in to another which are isomorphisms of the connections can be C⁰-extended to the space-time with b-boundary. In particular, it follows that the group of affine transformations and the group of isometries of a space-time act as topological transformation groups on the spacetime with b-boundary.     

Principle of event symmetry

To accommodate topology change, the symmetry of space-time must be extended from the diffeomorphism group of a manifold to the symmetric group acting on the discrete set of space-time events. This is the principle ofevent-symmetric space-time. I investigate a number of physical toy models with this symmetry to gain some insight into the likely nature of event-symmetric space-time. In the more advanced models the symmetric group is embedded into larger structures such as matrix groups which provide scope to unify space-time symmetry with the internal gauge symmetries of particle physics. I also suggest that the symmetric group of space-time could be related to the symmetric group acting to exchange identical particles, implying a unification of space-time and matter. I end with a definition of a new type of loop symmetry which is important in event-symmetric superstring theory.     

Torsion-induced spin precession

We investigate the motion of a spinning test particle in a spatially-flat FRW-type space-time in the framework of the Einstein–Cartan theory. The space-time has a torsion arising from a spinning fluid filling the space-time. We show that, for spinning particles with non-zero transverse spin components, the torsion induces a precession of the particle spin around the direction of the spin of the fluid. We also show that a charged spinning particle moving in a torsion-less spatially-flat FRW space-time in the presence of a uniform magnetic field undergoes a precession of a different character.     

Geometrical Optics in Stationary Space-Times

The equations of geometrical optics in a stationary space-time are obtained making use of a decomposition of the metric such that the Maxwell equations take a form similar to the one they usually have in flat space-time. It is shown that if the space-time is not static, the light rays are not orthogonal to the geometrical wavefronts in this decomposition.     

The Sagnac effect in curved space-times from an analogy with the Aharonov-Bohm effect

In the context of the natural splitting, the standard relative dynamics can be expressed in terms of gravito-electromagnetic fields, which allow to formally introduce a gravito-magnetic Aharonov-Bohm effect. We showed elsewhere that this formal analogy can be used to derive the Sagnac effect in flat space-time as a gravito-magnetic Aharonov-Bohm effect. Here, we generalize those results to study the General Relativistic corrections to the Sagnac effect in some stationary and axially symmetric geometries, such as the space-time around a weakly gravitating and rotating source, Kerr space-time, Gödel universe and Schwarzschild space-time.     

Determination of all Petrov type-N space-times on which the conformally invariant scalar wave equation satisfies Huygen's principle

It is shown that the conformally invariant wave equation on a Petrov type-N space-time satisfies Huygens' principle if and only if the space-time is conformally related to a plane wave space-time.     

On the geometrical interpretation of the theory of gravitation in flat space

In the framework of the flat space-time approach to gravitational theory the equations of motion of point particles are derived from a suitable Lagrangian. Attention is paid to the distinction of the different worldline parameters in Minkowskian und Riemannian space-time. It is shown that the world-lines of point particles are geodesics in a Riemannian space-time and permit a consistent geometrical interpretation of the theory.     

The topology of geodesically complete space-times

Two theorems are given on the topology of geodesically complete space-times which satisfy the energy condition. Firstly, the condition that a compact embedded 3-manifold in space-time be dentless is defined in terms of causal structure. Then it is shown that a dentless 3-manifold must separate space-time, and that it must enclose a compact portion of space-time. Further, it is shown that if the dentless 3-manifold is homeomorphic toS ³ then the part of space-time that it encloses must be simply connected.     

Fermi field and Dirac oscillator in a Som–Raychaudhuri space-time

We investigate the relativistic dynamics of a Dirac field in the Som–Raychaudhuri space-time, which is described by a Gödel-type metric and a stationary cylindrical symmetric solution of Einstein field equations for a charged dust distribution in rigid rotation. In order to analyze the effect of various physical parameters of this space-time, we solve the Dirac equation in the Som–Raychaudhuri space-time and obtain the energy levels and eigenfunctions of the Dirac operator by using the Nikiforov–Uvarov method. We also examine the behaviour of the Dirac oscillator in the Som–Raychaudhuri space-time, in particular, the effect of its frequency and the vorticity parameter.     

Bounded region with closed time-like curves in T-dual pp-waves backgrounds

In the 10-dimensional pp-waves background we have found using T-duality a 4-dimensional space-time in which closed time-like curves appear in the region bounded by two coaxial elliptic cylinders. This 4-dimensional space-time is similar to the Gödel-type space-time only in this region. Outside of this region the causal pathology does not appear.     

Classical Spontaneous Breakdown of Symmetry and Induction of Inertia

We consider the existing forms of inertia-free mechanics as attempts to reduce the a priori properties of space-time and to search for the mechanism inducing the actual properties of local space-time regions by the matter-distribution in the universe. We explicate the problem of the induction of the local Lorentz structure of space-time and establish a first solution.     

Homothetic motions with null homothetic bivectors in general relativity

It is shown that if a nonflat vacuum space-time admits a homothetic vector field with a null homothetic bivector then that space-time is algebraically special. If that homothetic vector field is a nontrivial one (not a Killing one) then the space-time is Petrov type III orN.     

钟速同步的传递性等价于热力学第零定律

平直或弯曲时空中的平衡热辐射,表现出用坐标量表示的普朗克黑体谱.把热平衡系统的辐射具有普朗克黑体谱作为一条基本的物理规律,以此为基础,论证钟速同步的传递性等价于热力学第零定律.钟速同步的条件比建立同时面的条件要弱.满足这一条件的时空,热力学第零定律在其中成立.第零定律成立的时空,一定可以定义统一的钟速. 关键词：     

水声信号稀疏重构高分辨角度-多普勒成像

针对傅氏空时二维谱估计分辨率低以及声呐空时采样数据样本数不足给角度-多普勒成像带来困难的问题,提出一种水声信号稀疏重构的高分辨角度-多普勒成像方法和抗混响空时滤波器的稀疏重构方法.该方法在声呐阵列单测量向量的极少观测样本条件下,建立阵列信号的空时稀疏表示模型,应用稀疏表示的匹配追踪算法和基追踪算法重构回波与混响的高分辨...     

费曼路径积分和霍金蒸发

在本文中,我们采用路径积分方法,证明了我们在不久前提出来的一个猜想,即与具体的时空度规形式无关,任一具有未来视界的静态和稳态时空,都存在霍金蒸发。 关键词：