We perform an optimal localization of asymptotically flat initial data sets and construct data that have positive ADM mass but are exactly trivial outside a cone of arbitrarily small aperture. The gluing scheme that we develop allows to produce a new class of N-body solutions for the Einstein equation, which patently exhibit the phenomenon of gravitational shielding: for any large T we can engineer solutions where any two massive bodies do not interact at all for any time t∈ (0 , T) , in striking contrast with the Newtonian gravity scenario.
Localizing solutions of the Einstein constraint equations / Carlotto, A.; Schoen, R.. - In: INVENTIONES MATHEMATICAE. - ISSN 0020-9910. - 205:3(2016), pp. 559-615. [10.1007/s00222-015-0642-4]
Localizing solutions of the Einstein constraint equations
Carlotto A.;
2016-01-01
Abstract
We perform an optimal localization of asymptotically flat initial data sets and construct data that have positive ADM mass but are exactly trivial outside a cone of arbitrarily small aperture. The gluing scheme that we develop allows to produce a new class of N-body solutions for the Einstein equation, which patently exhibit the phenomenon of gravitational shielding: for any large T we can engineer solutions where any two massive bodies do not interact at all for any time t∈ (0 , T) , in striking contrast with the Newtonian gravity scenario.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
