GENERALIZATION OF TOLMAN–BONDI SOLUTION

М. П. Коркина, Е. М. Коптева

Abstract


In this work the model ofSchwarzschild black hole in the universe filled by dust-like matter is built on the basis of found generalization of Tolman–Bondi solution. A set of possible solutions for this model was analyzed with help of mass function methodand it was shown that proposed solutions cannot describe the model under consideration.

Keywords


Schwarzschild’s model of black hole; analytical solutions.

References


McVittie G.C. // Mon. Not. R. Astron. Soc. — 1933. — 93. — P. 325.

Nolan B.C. // Phys. Rev. D. — 1998. — 58, 064006.

McClure M.L., Dyer C.C. // Class. Quantum Grav. — 2006. — 23, 1971; Gen. Rel. Gravit. — 2006. — 38, 1347.

Faraoni V., Jacques A. // Phys. Rev. D. — 2007. — 76, 063510.

Thakurta S.N.G. // Indian J. Phys. — 1981. — 55B. — P. 304.

Sultana J., Dyer C.C. // Gen. Rel. Grav. — 2005. — 37, 1349.

Changjun Gao, et al. // Phys. Rev. D. — 2011. — 84, 104047.


Full Text: PDF

Refbacks

  • There are currently no refbacks.