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**New class of inhomogeneous cosmological perfect-fluid solutions without big-bang singularity.**
*(English)*
Zbl 0942.83506

Summary: A new class of exact solutions to Einstein’s field equations with a perfect-fluid source is presented. The solutions describe spatially inhomogeneous cosmological models and have a realistic equation of state \(p=\rho/3\). The properties of the solutions are discussed. The most remarkable feature is the absence of an initial singularity, the curvature and matter invariants being regular and smooth everywhere. We also present an alternative interpretation of the solution as a globally regular cylindrically symmetric space-time.

### MSC:

83C20 | Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory |

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\textit{J. M. M. Senovilla}, Phys. Rev. Lett. 64, No. 19, 2219--2221 (1990; Zbl 0942.83506)

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### References:

[1] | S. W. Hawking, in: The Large Scale Structure of the Universe (1973) · Zbl 0265.53054 |

[2] | J. Wainwright, Phys. Rev. D 22 pp 1906– (1980) |

[3] | A. Feinstein, Class. Quantum Grav. 6 pp L89– (1989) · Zbl 1248.83011 |

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