General future asymptotically flat spacetimes

Details General future asymptotically flat spacetimes General future asymptotically flat spacetimes

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4.1063m&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, Sept. 1, 1987, p. 1063-1084.

Mathematics

9

Asymptotic Properties, Flatness, Gravitation Theory, Space-Time Functions, Conformal Mapping, Field Theory (Physics), Logarithms, Manifolds (Mathematics)

Scientific paper

The standard notions of asymptotically flat spacetimes have been challenged by the examples found by Isaacson et al. (1984) which show logarithmic asymptotic behavior. Here, a geometrical definition of general future asymptotically flat (GeFAF) spacetimes is introduced, and its implications are systematically studied throughout the paper. Conformal techniques are used, but no reference to field equations is made in this work. In particular, logarithmic behavior is studied. For the general GeFAF case it is deduced that the radiation fields always behave like 1/r asymptotically.

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