BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Albachiara Cogo (Scoula Normale Superiore di Pisa\, Italy) DTSTART:20261105T143000Z DTEND:20261105T153000Z DTSTAMP:20261027T011216Z UID:jomarec/54 DESCRIPTION:Title: Boosted maximal hypersurfaces in Schwarzschild\nby Albachiara Cogo (S coula Normale Superiore di Pisa\, Italy) as part of JoMaReC - Joint Online Mathematical Relativity Colloquium\n\n\nAbstract\nIn Minkowski spacetime\ , there is a one-to-one correspondence between inertial observers\, Lorent z boosts and entire spacelike maximal (of vanishing mean curvature) hypers urfaces\, as a consequence of the renowned Cheng–Yau Bernstein-type theo rem. The question of whether a similar correspondence exists in non-flat s pacetimes was raised by Bartnik in 1988. In this talk\, we take a first st ep towards addressing this problem in the Schwarzschild setting. We prove the existence of an entire\, spacelike hypersurface of vanishing mean curv ature that is asymptotic to suitably chosen coordinate-dependent boosts in the two asymptotically flat ends of the maximally extended Schwarzschild spacetime\, for any choice of boost parameter. Analytically\, this consist s in finding solutions to the maximal surface equation\, a geometric quasi linear elliptic PDE\, with prescribed asymptotics. As a corollary\, we gen erate a foliation of maximal hypersurfaces in exterior Schwarzschild\, whi ch corresponds to a geometric choice of time function associated to the bo ost parameter.\n LOCATION:https://researchseminars.org/talk/jomarec/54/ END:VEVENT END:VCALENDAR