On Existence of Non-singular, Vacuum, Stationary Space-times with a Negative Cosmological Constant

نویسنده

  • PIOTR T. CHRUŚCIEL
چکیده

We construct infinite dimensional families of non-singular stationary space times, solutions of the vacuum Einstein equations with a negative cosmological constant.

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

Non-singular, Vacuum, Stationary Space-times with a Negative Cosmological Constant

We construct infinite dimensional families of non-singular stationary space times, solutions of the vacuum Einstein equations with a negative cosmological constant.

متن کامل

Matching of spatially homogeneous non-stationary space–times to vacuum in cylindrical symmetry

We study the matching of LRS spatially homogeneous collapsing dust space-times with non-stationary vacuum exteriors in cylindrical symmetry. Given an interior with diagonal metric we prove existence and uniqueness results for the exterior. The matched solutions contain trapped surfaces, singularities and Cauchy horizons. The solutions cannot be asymptotically flat and we present evidence that t...

متن کامل

On the Uniqueness of Ads Space-time in Higher Dimensions

In this paper, based on an intrinsic definition of asymptotically AdS space-times, we show that the standard anti-de Sitter space-time is the unique strictly stationary asymptotically AdS solution to the vacuum Einstein equations with negative cosmological constant in dimension less than 7. Instead of using the positive energy theorem for asymptotically hyperbolic spaces our approach appeals to...

متن کامل

افت و خیزهای برداری حول جواب وسون

 In Wesson's canonical model, the universe is assumed to be five dimensional (5D) empty space time. This model corresponds to a solution of the Einstein field equation in five dimensions which, from a four dimensional point of view, is equivalent to a universe with a positive cosmological constant. In this model, the fifth direction is perpendicular to the four dimensional space time and is not...

متن کامل

space-times with a negative cosmological constant

We construct a large class of new singularity-free static Lorentzian fourdimensional solutions of the vacuum Einstein equations with a negative cosmological constant. The new families of metrics contain space-times with, or without, black hole regions. Two uniqueness results are also established.

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 2005