Mathematics – Logic
Scientific paper
Dec 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6.1839h&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Dec. 1, 1989, p. 1839-1846. Research supported by NASA.
Mathematics
Logic
46
Conformal Mapping, Cosmology, Einstein Equations, Euclidean Geometry, Scalars, Space-Time Functions, Astronomical Models, Gravitational Effects, Gravitational Fields
Scientific paper
The Euclidian Einstein equations with a cosmological constant and a conformally coupled scalar field are solved, taking the metric to be of the Robertson-Walker type. In the case Lambda = 0, solutions are found which represent a wormhole connecting two asymptotically flat Euclidian regions. In the case Lambda greater than 0, the solutions represent tunneling from a small Tolman-like universe to a large Robertson-Walker universe.
Halliwell Jonathan J.
Laflamme Raymond
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