The Merger of the Schwarzschild type and FRW metrics

Authors

1 University of Kurdistan

2 University of Kelaniya

Abstract
The merging for the Schwarzschild type and FRW metrics are discussed and investigated and it is shown that the merger is possible for three geometry of the expanding universe.

Keywords


[1] A. Einstein and E. G. Straus, '' The Influence of the Expansion of Space on the Gravitation Fields Surrounding the Individual Stars,'' Rev. Mod. Phys., vol. 17, no. 2, 1945. [DOI:10.1103/RevModPhys.17.120]
[1] A. Einstein and E. G. Straus, '' The Influence of the Expansion of Space on the Gravitation Fields Surrounding the Individual Stars,'' Rev. Mod. Phys., vol. 17, no. 2, 1945. [DOI:10.1103/RevModPhys.17.120]
[2] M. Carrera and D. Giulini, "Influence of global cosmological expansion on local dynamics and kinematics," Rev. Mod. Phys., vol. 82, no. 169, 2010. [DOI:10.1103/RevModPhys.82.169]
[2] M. Carrera and D. Giulini, "Influence of global cosmological expansion on local dynamics and kinematics," Rev. Mod. Phys., vol. 82, no. 169, 2010. [DOI:10.1103/RevModPhys.82.169]
[3] G. C. McVittie, "The mass-particle in an expanding universe," Mon. Not. R. Astr. Soc., vol. 93, no. 325, 1933. [DOI:10.1093/mnras/93.5.325]
[3] G. C. McVittie, "The mass-particle in an expanding universe," Mon. Not. R. Astr. Soc., vol. 93, no. 325, 1933. [DOI:10.1093/mnras/93.5.325]
[4] B. C. Nolan, "A point mass in an isotropic universe: Existence, uniqueness, and basic properties," Phys.Rev. D, vol. 58, no. 064006, 1998. [DOI:10.1103/PhysRevD.58.064006]
[4] B. C. Nolan, "A point mass in an isotropic universe: Existence, uniqueness, and basic properties," Phys.Rev. D, vol. 58, no. 064006, 1998. [DOI:10.1103/PhysRevD.58.064006]
[5] B. C. Nolan, "A point mass in an isotropic universe: III. The region R ≤ 2m," lass.Quant.Grav., vol.16, no. 3191, 1999. [DOI:10.1088/0264-9381/16/10/310]
[5] B. C. Nolan, "A point mass in an isotropic universe: III. The region R ≤ 2m," lass.Quant.Grav., vol.16, no. 3191, 1999. [DOI:10.1088/0264-9381/16/10/310]
[6] I. D. Karachentsev, "The Local Group and Other Neighboring Galaxy Groups," The Astronomical Journal, vol. 129, no. 178, 2005. [DOI:10.1086/426368]
[6] I. D. Karachentsev, "The Local Group and Other Neighboring Galaxy Groups," The Astronomical Journal, vol. 129, no. 178, 2005. [DOI:10.1086/426368]
[7] B. Senevirathne and N. de Silva, "The Merger of the Schwarzschild metric and the Robertson-Walker metric," arXiv: 0812.3740v2.
[7] B. Senevirathne and N. de Silva, "The Merger of the Schwarzschild metric and the Robertson-Walker metric," arXiv: 0812.3740v2.