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SUMMARY:Numerical hyperboloidal compactification: waves on FLRW and neutro
 n star initial data
DTSTART:20250624T110000Z
DTEND:20250624T130000Z
DTSTAMP:20260422T152623Z
UID:d011833c-5a2d-4484-b678-0df2f4ecd909
SEQUENCE:2
CREATED:20250618T134131Z
DESCRIPTION:Both parts of this talk involve numerical descriptions on comp
 actified hyperboloidal slices reaching future null infinity -- the &quot\;
 location&quot\; in spacetime where electromagnetic and gravitational radia
 tion arrives and where global properties of spacetimes can be measured. Th
 e first part\, presenting joint work with Flavio Rossetti\, focuses on the
  asymptotic decay of the linear wave equation on flat and hyperbolic FLRW 
 spacetimes with a time-dependent scale factor. I will describe the hyperbo
 loidal setup\, which allows us to recover decay rates obtained from evolut
 ions on usual truncated Cauchy slices\, and also consider solutions of a n
 on-linear wave with self-interactions. The second part will describe the c
 onstruction of initial data for a neutron star on a hyperboloidal slice\, 
 involving spherical symmetry and a polytropic-like equation of state. Cons
 traint-satisfying compactified hyperboloidal initial data are obtained for
  a single neutron star and for a combination of a neutron star with a smal
 l black hole in its center. To the best of my knowledge\, this is the firs
 t time that full hyperboloidal slices including a neutron star are constru
 cted.
LAST-MODIFIED:20250618T134143Z
LOCATION:DF Seminar Room (2-8.3)\, 2nd floor of Physics Building
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/numerical-hyperboloidal-co
 mpactification-waves-on-flrw-and-neutron-star-initial-data/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="uc86k">Both parts of this 
 talk involve numerical descriptions on compactified hyperboloidal slices r
 eaching future null infinity -- the &quot\;location&quot\; in spacetime wh
 ere electromagnetic and gravitational radiation arrives and where global p
 roperties of spacetimes can be measured.<br/><br/> The first part\, presen
 ting joint work with Flavio Rossetti\, focuses on the asymptotic decay of 
 the linear wave equation on flat and hyperbolic FLRW spacetimes with a tim
 e-dependent scale factor. I will describe the hyperboloidal setup\, which 
 allows us to recover decay rates obtained from evolutions on usual truncat
 ed Cauchy slices\, and also consider solutions of a non-linear wave with s
 elf-interactions.<br/><br/> The second part will describe the construction
  of initial data for a neutron star on a hyperboloidal slice\, involving s
 pherical symmetry and a polytropic-like equation of state. Constraint-sati
 sfying compactified hyperboloidal initial data are obtained for a single n
 eutron star and for a combination of a neutron star with a small black hol
 e in its center. To the best of my knowledge\, this is the first time that
  full hyperboloidal slices including a neutron star are constructed.<br/><
 /p>
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