Some Static Isotropic Perfect Fluid Spheres in General Relativity

نویسندگان

  • Sachin Kumar
  • Y. K. Gupta
  • J. R. Sharma
چکیده

In the present article, a new class of solutions of Einstein field equations is investigated for a spherically symmetric space-time when the source of gravitation is a perfect fluid. All the solutions have been derived by making some suitable arrangements in the field equations. The solutions so obtained have been seen to describe Schwarzschild interior solutions. Most of the solutions are subjected to the reality conditions. As far as the authors are aware the solutions are new. Keywords—Einstein’s equations, General Relativity, Perfect Fluid, Spherical symmetric.

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

0 50 30 07 v 1 2 M ar 2 00 5 Generating perfect fluid spheres in general relativity

Ever since Karl Schwarzschild’s 1916 discovery of the spacetime geometry describing the interior of a particular idealized general relativistic star — a static spherically symmetric blob of fluid with position-independent density — the general relativity community has continued to devote considerable time and energy to understanding the general-relativistic static perfect fluid sphere. Over the...

متن کامل

Generation of Static Perfect Fluid Spheres in General Relativity

In this paper a new technique of finding static spherically symmetric perfect fluid solutions is presented. This amounts to solving two first order differential equations, one for each of the two metric functions, coupled by a single generating function. The technique can be applied to generate new solutions from previously known solutions. Using the technique a new physically acceptable soluti...

متن کامل

Se p 20 06 Solution generating theorems for perfect fluid spheres

The first static spherically symmetric perfect fluid solution with constant density was found by Schwarzschild in 1918. Generically, perfect fluid spheres are interesting because they are first approximations to any attempt at building a realistic model for a general relativistic star. Over the past 90 years a confusing tangle of specific perfect fluid spheres has been discovered, with most of ...

متن کامل

Buchdahl-like Transformations for Perfect Fluid Spheres

In two previous articles [Phys. Rev. D 71 (2005) 124307 (gr-qc/0503007) and Phys. Rev. D 76 (2006) 0440241 (gr-qc/0607001)] we have discussed several “algorithmic” techniques that permit one (in a purely mechanical way) to generate large classes of general-relativistic static perfect fluid spheres. Working in Schwarzschild curvature coordinates, we used these algorithmic ideas to prove several ...

متن کامل

ar X iv : g r - qc / 0 31 20 19 v 1 3 D ec 2 00 3 Interior perfect fluid scalar - tensor solution

We present a new exact perfect fluid interior solution for a particular scalartensor theory. The solution is regular everywhere and has a well defined boundary where the fluid pressure vanishes. The metric and the dilaton field match continuously the external solution. Exact solutions provide a route to better and more deep understanding of the inherent nonlinear character of gravity. One of th...

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 2012