Cosmological Solution to Einstein-Vlasov System

نویسنده

  • Tigran Aivazian
چکیده

In this paper the Einstein-Vlasov system of self-consistent field equations is used to construct a cosmological model. A solution is found for a homogeneous isotropic space-time with positive curvature (R × S 3 topology). For the Universe consisting of massless particles the equation for R(t) is solved analytically.

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

Isotropization of solutions of the Einstein-Vlasov system with Bianchi V symmetry

Using the methods developed for different Bianchi class A cosmological models we treat the simplest Bianchi class B model, namely Bianchi type V. The future non-linear stability for solutions of the Einstein-Vlasov system is demonstrated and it is shown that these solutions are asymptotically stable to the Milne solution. Within the isotropic solutions of the Einstein-Vlasov system the spatiall...

متن کامل

The Einstein-vlasov System with a Scalar Field

We study the Einstein-Vlasov system coupled to a nonlinear scalar field with a nonnegative potential in locally spatially homogeneous spacetime, as an expanding cosmological model. It is shown that solutions of this system exist globally in time. When the potential of the scalar field is of an exponential form, the cosmological model corresponds to accelerated expansion. The Einstein-Vlasov sys...

متن کامل

Static Solutions to the Einstein-Vlasov System with a Nonvanishing Cosmological Constant

We construct spherically symmetric static solutions to the Einstein–Vlasov system with nonvanishing cosmological constant Λ. The results are divided as follows. For small Λ > 0 we show the existence of globally regular solutions which coincide with the Schwarzschild–deSitter solution in the exterior of the matter regions. For Λ < 0 we show via an energy estimate the existence of globally regula...

متن کامل

Cosmological solutions of the Vlasov-Einstein system with spherical, plane, and hyperbolic symmetry

The Vlasov-Einstein system describes a self-gravitating, collisionless gas within the framework of general relativity. We investigate the initial value problem in a cosmological setting with spherical, plane, or hyperbolic symmetry and prove that for small initial data solutions exist up to a spacetime singularity which is a curvature and a crushing singularity. An important tool in the analysi...

متن کامل

Asymptotic Behaviour of the Einstein-vlasov System with a Positive Cosmological Constant

We study locally spatially homogeneous solutions of the EinsteinVlasov system with a positive cosmological constant. First the global existence of solutions of this system and the casual geodesic completeness are shown. Then the asymptotic behaviour of solutions in the future time is investigated in various aspects.

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 2007