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Positivity of Mass in Higher Dimensions

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jats:titleAbstract</jats:title>jats:pThe positive mass theorem in higher dimensions is proved using causality arguments inspired by those of Penrose et al. (a positive mass theorem based on the focusing and retardation of null geodesics, 1993) in jats:inline-formulajats:alternativesjats:tex-math$$3+1$$</jats:tex-math><mml:math xmlns:mml=""> mml:mrow mml:mn3</mml:mn> mml:mo+</mml:mo> mml:mn1</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> dimensions.</jats:p>


Acknowledgements: I am grateful to Maciej Dunajski, Piotr Chruściel, Greg Galloway, Roger Penrose, Harvey Reall, Paul Tod, Eric Woolgar, Gary Gibbons and Claude Warnick for useful discussions, as well as to the anonymous referee for their extremely helpful comments. I am also grateful to St. John’s College, Cambridge for their support through a College Scholarship from the Todd/Goddard Fund. Some of this work was carried out while I was visiting Institut Mittag-Leffler in Djursholm, Sweden, where I was supported by the Swedish Research Council under Grant No. 2016-06596. Funding was provided by Science and Technology Facilities Council (Grant No. ST/P000681/1, ST/T000694/1), St John’s College, University of Cambridge (Todd/Goddard Fund), Vetenskapsr’det (Grant No. 2016-06596).


4902 Mathematical Physics, 4904 Pure Mathematics, 49 Mathematical Sciences

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Annales Henri Poincare

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Springer Science and Business Media LLC
Science and Technology Facilities Council (ST/P000681/1)
STFC (ST/T000694/1)