A singular conformal spacetime |
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| Institution: | 1. Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via R.Cozzi, 55, I-20126 Milano, Italy;2. ICMC-USP Universidade de São Paulo, Avenida Trabalhador Sao-carlense 400 Centro, CEP: 13566-590, São Carlos, SP, Brazil;1. Theory Group, School of Physics and Astronomy, The University of Manchester, Manchester, England, United Kingdom;2. Department of Mathematics, University of Haifa, 3498838 Haifa, Israel;1. Belarusian State University, Nezavisimosti Ave. 4, Minsk 220030, Belarus;2. Mathematical Sciences Institute, Australian National University, ACT 0200, Australia;1. Universidade Federal do Maranhão (UFMA), Departamento de Física, Campus Universitário do Bacanga, São Luís, MA, 65085-580, Brazil;2. Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Fortaleza, CE, C.P. 6030, 60455-760, Brazil |
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| Abstract: | The infinite cosmological “constant” limit of the de Sitter solutions to Einstein’s equation is studied. The corresponding spacetime is a singular, four-dimensional cone-space, transitive under proper conformal transformations, which constitutes a new example of maximally-symmetric spacetime. Grounded on its geometric and thermodynamic properties, some speculations are made in connection with the primordial universe. |
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