The gravitational field of a superconducting cosmic string

The gravitational properties of a long, straight superconducting string are discussed. It turns out that a light ray is deflected through an angle which depends on the total energy per unit length whereas the gravitational force on a test particle depends on the electromagnetic energy in the string.     

Pair production in the gravitational field of a cosmic string

We show that many elementary particle physics processes, such as pair production by a high energy photon, that take place in Minkowski space only if a non-uniform external field provides for momentum non-conservation, do occur in the space-time around a straight cosmic string, even though the space is locally flat and there is no local gravitational potential. We exemplify this mechanism through the evaluation of the cross section per unit length of string for the decay of a massless scalar particle into a pair of massive particles. The cross sections for this kind of processes are typically small. Nevertheless, it is interesting to realize how these reactions occur due to topological properties of space, rather than to the action of a local field.     

A stationary Michelson interferometer in a Schwarzschild gravitational field

There is shown to be a nonzero effect during the measurement of the time lag in a Michelson interferometer in the earth's gravitational field, for vertical positioning of one of the arms. A formula for calculating the time lag is obtained. The possibility of measuring the interferometer effect with the aid of fiber optics is considered.S. Ordzhonikidze Moscow Aviation Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 95–97, March, 1993.     

New cosmic microwave background constraint to primordial gravitational waves

Primordial gravitational waves (GWs) with frequencies > or approximately equal to 10(-15) Hz contribute to the radiation density of the Universe at the time of decoupling of the cosmic microwave background (CMB). This affects the CMB and matter power spectra in a manner identical to massless neutrinos, unless the initial density perturbation for the GWs is nonadiabatic, as may occur if such GWs are produced during inflation or some post-inflation phase transition. In either case, current observations provide a constraint to the GW amplitude that competes with that from big-bang nucleosynthesis (BBN), although it extends to much lower frequencies (approximately 10(-15) Hz rather than the approximately 10(-10) Hz from BBN): at 95% confidence level, omega(gw)h(2) 相似文献   

Quantum gravitational contributions to the cosmic microwave background anisotropy spectrum

We derive the primordial power spectrum of density fluctuations in the framework of quantum cosmology. For this purpose we perform a Born-Oppenheimer approximation to the Wheeler-DeWitt equation for an inflationary universe with a scalar field. In this way, we first recover the scale-invariant power spectrum that is found as an approximation in the simplest inflationary models. We then obtain quantum gravitational corrections to this spectrum and discuss whether they lead to measurable signatures in the cosmic microwave background anisotropy spectrum. The nonobservation so far of such corrections translates into an upper bound on the energy scale of inflation.     

Cosmic microwave background anisotropy induced by a moving straight cosmic string

A method of searching for cosmic strings based on an analysis of the cosmic microwave background (CMB) anisotropy is presented. A moving straight cosmic string is shown to generate structures of enhanced and reduced brightness with a distinctive shape. The conditions under which a string can be detected by both CMB anisotropy and gravitational lensing in optical surveys are analyzed. For a relativistic string with a deficit angle of ～1″–2″, the amplitude of the generated anisotropy is shown to be ～15–30 μK.     

Measurement of free-fall acceleration in a stationary gravitational field

A simple method is proposed for the measurement of the fundamental kinematic characteristics of a particle falling freely in a stationary gravitational field near an observer whose world line is the trajectory of a group of motions. An expression is obtained for the observable acceleration on the world line of the observer, and some particular cases are considered. In the concluding section the results of a previous paper by the author are reviewed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp, 7–13, April, 1977.     

A symmetry of the string background field equations

We investigate the effect of duality transformations on the geometries of a subclass of two-dimensional non-linear sigma-models. We identify the torsion which appears on dualizing such a model, initially without Wess-Zumino-Witten term, as the field strength of the gauge connection appearing in a Kałuza-Klein interpretation of the initial geometry. We show that duality preserves quantum conformal invariance at order [α′]⁰, where α′ is the string tension parameter, provided the change induced in the geometry by duality is accompanied by a shift in the dilaton field. We interpret these combined transformations as a symmetry of the order [α′]⁰ string background field equations.     

遗迹引力波对宇宙微波背景辐射极化的影响

根据宇宙大爆炸理论的预言,宇宙经历了由暴涨阶段到辐射阶段到物质阶段再到如今的加速膨胀阶段.在辐射阶段所残留的退耦的自由光子便形成了现在人们所观测到的宇宙微波背景辐射.如果没有扰动,微波背景辐射将是各向同性的,但是在宇宙形成的初期存在各种各样的扰动,因此宇宙微波背景辐射呈现各向异性.针对由遗迹引力波对微波背景辐射极化所产生的各向异性的影响,重点讨论电场型极化和磁场型极化. 关键词： 遗迹引力波 微波背景辐射 极化各向异性     

Quantum constraint algebra for a closed bosonic string in a gravitational and dilaton background

We derive the quantum constraint algebra for a closed bosonic string moving in a gravitational and dilaton background to first order in '. The hamiltonian approach is used to directly compute the quantum constraint commutators and calculate the c-and q-number anomalies that arise at the quantum level. The requirement that the algebra preserves the conformal invariance leads to the known background field equations.     

Spectrum of stationary electromagnetic radiation in a static gravitational field

From the equation of continuity, an equation is derived for the change in the spectrum of radiation stationary in a static gravitational field, as measured by local observers in their proper frame. It is shown that an isotropic solution always exists in which the energy density per unit frequency interval is ³ times an arbitrary function of .