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CATEGORIES:DAMTP Friday GR Seminar
SUMMARY:Kelvin's theorem and Hamilton-Jacobi fluid theory
in gravitational wave astrophysics - Charalampos M
arkakis (University of Cambridge)
DTSTART;TZID=Europe/London:20190215T130000
DTEND;TZID=Europe/London:20190215T140000
UID:TALK115744AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/115744
DESCRIPTION:The motion of strongly gravitating fluid bodies is
described by the Euler-Einstein system of partial
differential equations. Centuries after their adv
ent\, the solution to these equations remains math
ematically and computationally difficult\, and the
break-down of well-posedness on the boundary inte
rface between fluid and vacuum remains a challengi
ng open problem. The problem manifests itself in n
umerical simulations of binary neutron-star inspir
al. This talk focuses on formulating and implement
ing well-posed\, acoustical and canonical hydrodyn
amic schemes\, suitable for inspiral simulations a
nd gravitational-wave source modelling. The scheme
uses a variational principle by Carter-Lichnerowi
cz stating that barotropic fluid motions are confo
rmally geodesic\, a corollary to Kelvin's theorem
stating that initially irrotational flows remain i
rrotational\, and Christodoulou's acoustic metric
approach adopted to numerical relativity\, in orde
r to evolve the canonical momentum of a fluid elem
ent via Hamilton's equations. These mathematical t
heorems leave their fingerprints on inspiral wavef
orms from binary neutron stars observed by the LIG
O and Virgo detectors.
LOCATION:Pavilion B Potter Room (B1.19)
CONTACT:Nathan Johnson-McDaniel
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