Spherically Symmetric Cosmological Solutions of Einstein’s Equations

Chin. Phys. Lett.

1999, Vol. 16

Issue (4): 247-248 DOI:

Original Articles

Spherically Symmetric Cosmological Solutions of Einstein’s Equations

Mohammed Ashraful Islam

Department of Mathematics, and Research Centre for Mathematical and Physical Sciences, Chittagong University, Chittagong, Bangladesh

Cite this article:

Mohammed Ashraful Islam 1999 Chin. Phys. Lett. 16 247-248

Download: PDF(97KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract Two sets of solution of the Einstein’s equations of general theory of relativity which is spherically-symmetric and nonstatic homogeneous isotropic universe for perfect fluid are obtained. The first solution is the Einstein de-Sitter type containing a scale factor ( √6πкGt + a)^4/3 and an arbitrary function f (R) of radial space coordinates. The second solution is for stiff equation of state p = ρc², which also has a scale factor [3 √8πaG∫^t₀ξ(t)dt]^2/3 and an arbitrary function h(R) of radial space coordinates.

Keywords: 04.20.Jb 98.80.Dr 95.30.Sf

Published: 01 April 1999

PACS:	04.20.Jb	(Exact solutions)
	98.80.Dr
	95.30.Sf	(Relativity and gravitation)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1999/V16/I4/0247

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	Mohammed Ashraful Islam

Related articles from Frontiers Journals

[1]	CAO Ce-Wen,ZHANG Guang-Yao. Lax Pairs for Discrete Integrable Equations via Darboux Transformations**[J]. Chin. Phys. Lett., 2012, 29(5): 247-248
[2]	José Antonio Belinchón. Scale-Covariant Theory of Gravitation Through Self-Similarity*[J]. Chin. Phys. Lett., 2012, 29(5): 247-248
[3]	Gamal G. L. Nashed. Spherically Symmetric Solutions on a Non-Trivial Frame in f(T)* Theories of Gravity**[J]. Chin. Phys. Lett., 2012, 29(5): 247-248
[4]	R. K. Tiwari, D. Tiwari, Pratibha Shukla. LRS Bianchi Type-II Cosmological Model with a Decaying Lambda Term**[J]. Chin. Phys. Lett., 2012, 29(1): 247-248
[5]	R. K. Tiwari, S. Sharma* . Bianchi Type-I String Cosmological Model with Bulk Viscosity and Time-Dependent Λ term[J]. Chin. Phys. Lett., 2011, 28(9): 247-248
[6]	Department of Physics, Eastern Mediterranean University, G. Magosa, N. Cyprus, Mersin 0, Turkey . Chaos in Kundt Type-III Spacetimes[J]. Chin. Phys. Lett., 2011, 28(7): 247-248
[7]	AO Xi-Chen, LI Xin-Zhou, XI Ping . Cosmological Dynamics of de Sitter Gravity**[J]. Chin. Phys. Lett., 2011, 28(4): 247-248
[8]	R. K. Tiwari, Sonia Sharma . Non Existence of Shear in Bianchi Type-III String Cosmological Models with Bulk Viscosity and Time−Dependent Λ Term**[J]. Chin. Phys. Lett., 2011, 28(2): 247-248
[9]	XIN Xiang-Peng, LIU Xi-Qiang, ZHANG Lin-Lin . Symmetry Reduction, Exact Solutions and Conservation Laws of the Modified Kadomtzev–Patvishvili-II Equation[J]. Chin. Phys. Lett., 2011, 28(2): 247-248
[10]	ZHANG Tao, WU Pu-Xun, YU Hong-Wei, . Gödel-Type Universes in f(R) Gravity with an Arbitrary Coupling between Matter and Geometry**[J]. Chin. Phys. Lett., 2011, 28(12): 247-248
[11]	WEN De-Hua. Equation of State in the σ-ω-ρ Model Supported by the Observational Data of 4U 1608-52 Neutron Star[J]. Chin. Phys. Lett., 2010, 27(1): 247-248
[12]	Ciprian Dariescu, Marina-Aura Dariescu. Boson Nebulae Charge[J]. Chin. Phys. Lett., 2010, 27(1): 247-248
[13]	EL-NABULSI Ahmad Rami. Extra-Dimensional Cosmology with a Traversable Wormhole[J]. Chin. Phys. Lett., 2009, 26(9): 247-248
[14]	Shri Ram, M. K. Verma, Mohd. Zeyauddin. Spatially Homogeneous Bianchi Type V Cosmological Model in the Scale-Covariant Theory of Gravitation[J]. Chin. Phys. Lett., 2009, 26(8): 247-248
[15]	SHEN Ming. A New Solution to Einstein's Field Equations[J]. Chin. Phys. Lett., 2009, 26(6): 247-248

Viewed

Full text

Abstract