Positivity of Bondi mass for R+R2 gravity

Details Positivity of Bondi mass for R+R2 gravity Positivity of Bondi mass for R+R2 gravity

Mar 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37.1688z&link_type=abstract

Physical Review D (Particles and Fields), Volume 37, Issue 6, 15 March 1988, pp.1688-1689

Physics

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We show, by invoking the current positivity-of-energy theorems, that asymptotically flat solutions of R+(1/2β2)R2 theories of gravity possess a non-negative Bondi mass. This conclusion is reached provided that R>-β2 everywhere. These results, in combination with Strominger's, indicate that at least for a class of asymptotically flat solutions of higher-derivative gravity the Arnowitt-Deser-Misner mass as well as the Bondi mass are non-negative.

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