On the Growth of the Number of Hyperbolic Gravitational Instantons with Respect to Volume

نویسندگان

  • JOHN G. RATCLIFFE
  • STEVEN T. TSCHANTZ
چکیده

In this paper, we show that the number of hyperbolic gravitational instantons grows superexponentially with respect to volume. As an application, we show that the Hartle-Hawking wave function for the universe is infinitely peaked at a certain closed hyperbolic 3-manifold. PACS numbers: 0460M, 9880H

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Optical properties of a semi-infinite medium consist of graphene based hyperbolic meta-materials with tilted optical axis

In this paper, the  optical properties of a semi-infinite medium composed of graphen-based hyperbolic meta-materials with the optical axis were tilted with respect to its boundary with air, by using the  Maxwell equations; then  the homogeneous effective medium approximation method was  studied. The results showed that the orientation of the structure layers (geometric induced anisotropy) affec...

متن کامل

Four different types of a single drop dripping down a hole under gravity by lattice Boltzmann method

In this paper the dynamic of a droplet on a surface with a hole is investigated under gravitational effect by using lattice Boltzmann method. Incompressible two-phase flow with high density ratio proposed by Lee is considered. Cahn’s theory is used to observe the wettability of the surface in contact with liquid and gas phases. Several parameters such as contact angle, surface tension and gravi...

متن کامل

Tunnelling with a Negative Cosmological Constant

The point of this paper is see what light new results in hyperbolic geometry may throw on gravitational entropy and whether gravitational entropy is relevant for the quantum origin of the univeres. We introduce some new gravitational instantons which mediate the birth from nothing of closed universes containing wormholes and suggest that they may contribute to the density matrix of the universe...

متن کامل

The effect of variation of stellar dispersion velocities by the galactic latitude in interpreting gravitational microlensing observations

Our galaxy is a spiral galaxy and its stars are mostly in a thin disk and rotate around the galactic center. The vertical component of the dispersion velocity of stars is a function of the galactic latitude and decreases with increasing it. In the galactic Besancon model, this dependence is ignored and they just consider the dependence of dispersion velocity on the stellar age. Becanson model i...

متن کامل

Urban Growth Modeling using Integrated Cellular Automata and Gravitational Search Algorithm (Case Study: Shiraz City, Iran)

Cities are growing and encountering many changes over time due to population growth and migration. Identification and detection of these changes play important roles in urban management and sustainable development. Urban growth models are divided into two main categories: first cellular models which are further divided into experimental, dynamic, and integrated models and second vector models. ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000