Rosikhuna F. Assafari, Emir S. Fadhilla, Bobby E. Gunara, Hasanuddin, Abednego Wiliardy
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Axisymmetric Stationary Space-Times of Constant Scalar Curvature in Four Dimensions
We construct a special class of four-dimensional axisymmetric stationary space-times whose Ricci scalar is constant but are not Einstein space-times. We find that this solution has a ring singularity. At the end, we discuss some numerical results for these space-times.
期刊介绍：
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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