Conformally flat anisotropic spheres in general relativity

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Conformally Flat Anisotropic Spheres in General Relativity

The condition for the vanishing of the Weyl tensor is integrated in the spherically symmetric case. Then, the resulting expression is used to find new, conformally flat, interior solutions to Einstein equations for locally anisotropic fluids. The slow evolution of these models is contrasted with the evolution of models with similar energy density or radial pressure distribution but non-vanishin...

متن کامل

Anisotropic Geodesic Fluid Spheres in General Relativity

It is shown that unlike the perfect fluid case, anisotropic fluids (principal stresses unequal) may be geodesic, without this implying the vanishing of (spatial) pressure gradients. Then the condition of vanishing four acceleration is integrated in non-comoving coordinates. The resulting models are necessarily dynamic, and the mass function is expressed in terms of the fluid velocity as measure...

متن کامل

Harmonic Morphisms on Conformally Flat 3-spheres

We show that under some non-degeneracy assumption the only submersive harmonic morphism on a conformally flat 3−sphere is the Hopf fibration. The proof involves an appropriate use the Chern-Simons functional.

متن کامل

Conformally Flat Submanifolds in Spheres and Integrable Systems

É. Cartan proved that conformally flat hypersurfaces in Sn+1 for n > 3 have at most two distinct principal curvatures and locally envelop a one-parameter family of (n − 1)-spheres. We prove that the Gauss-Codazzi equation for conformally flat hypersurfaces in S4 is a soliton equation, and use a dressing action from soliton theory to construct geometric Ribaucour transforms of these hypersurface...

متن کامل

Anisotropic Stars in General Relativity

We present a class of exact solutions of Einstein’s gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the anisotropy factor. The energy density and both radial and tangential pressures are finite and positive inside the anisotropic star. Numerical results show that the ba...

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

ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 2001

ISSN: 0022-2488

DOI: 10.1063/1.1364503