Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-03-18
Int.J.Mod.Phys. D8 (1999) 43-49
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
RevTex, 10 pages, a new reference and related information is added
Scientific paper
10.1142/S0218271899000055
We consider the low-energy effective string action in four dimensions including the leading order-$\alpha'$ terms. An exact homogeneous solution is obtained. It represents a non-singular expanding cosmological model in which the tensor fields tend to vanish as $t\to \infty$. The scale factor $a(t)$ of the very early universe in this model has the time dependence $a(t)^2=a_0^2+t^2$. The violation of the strong energy condition of classical General Relativity to avoid the initial singularity requires that the central charge deficit of the theory be larger than a certain value. The significance of this solution is discussed.
Al-Nowaiser A. A.
Özer Murat
Taha M. O.
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