Objective The motion of strongly gravitating fluid bodies is described by the Euler-Einstein system of partial differential equations, combining fluid dynamics with general relativity. Centuries after their advent, the solution to these equations remains mathematically and computationally difficult, and the break-down of well-posedness on the boundary interface between fluid and vacuum remains a challenging open problem. The problem manifests itself in numerical simulations of binary neutron-star inspiral. The program will focus on formulating and implementing novel, well-posed Hamiltonian hydrodynamic schemes, suitable for inspiral simulations and gravitational-wave detector applications, with promising mathematical and computational applications in academia and industry. The scheme will use a variational principle by Carter-Lichnerowicz stating that barotropic fluid motions are conformally geodesic, a corollary of Kelvin's circulation theorem stating that initially irrotational flows remain irrotational, and Christodoulou's acoustic metric approach adopted to 3+1 numerical general relativity, in order to evolve the canonical momentum of a fluid element via Hamilton's equations. The recent observation of the inspiral and merger of binary black holes by the LIGO-Virgo collaboration, which marked the beginning of the era of gravitational wave astronomy, makes this work very timely: additional observations from binary neutron star or black hole–neutron star binary mergers are anticipated over the next years. The proposed research represents a coherent program aimed at mathematically and computationally exploring the theory of neutron stars, in order to improve our understanding of fundamental physical laws and reveal how nature operates on scales where our current understanding breaks down. Improvements in calibrated semi-analytical neutron-star gravitational waveforms can be directly deployed in the LIGO-Virgo search and parameter estimation pipelines. Fields of science natural sciencesphysical sciencesrelativistic mechanicsnatural sciencesphysical sciencesastronomyobservational astronomygravitational wavesnatural sciencesphysical sciencesastronomystellar astronomyneutron starsnatural sciencesphysical sciencesastronomyastrophysicsblack holesnatural sciencesphysical sciencesclassical mechanicsfluid mechanicsfluid dynamicscomputational fluid dynamics Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Topic(s) MSCA-IF-2016 - Individual Fellowships Call for proposal H2020-MSCA-IF-2016 See other projects for this call Funding Scheme MSCA-IF-GF - Global Fellowships Coordinator THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE Net EU contribution € 198 481,00 Address Trinity lane the old schools CB2 1TN Cambridge United Kingdom See on map Region East of England East Anglia Cambridgeshire CC Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 Partners (1) Sort alphabetically Sort by Net EU contribution Expand all Collapse all Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. THE BOARD OF TRUSTEES OF THE UNIVERSITY OF ILLINOIS United States Net EU contribution € 0,00 Address 506 s. wright street, 209 hab, mc 339 61801 Urbana il See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 106 753,60