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SUMMARY:Towards Hyperboloidal Numerical Relativity with the Einstein Toolk
 it
DTSTART:20241204T140000Z
DTEND:20241204T160000Z
DTSTAMP:20260506T073851Z
UID:8fe79255-22de-4f15-95f9-77be675061d3
SEQUENCE:1
CREATED:20241203T100843Z
DESCRIPTION:The goal of hyperboloidal numerical relativity is to evolve th
 e Einstein FieldEquations on compactified hyperboloidal slices\, which are
  spacelike everywhereand extend smoothly to future null infinity. This is 
 the location in asymptotically flatspacetimes reached by outgoing null ray
 s\, and where waveforms become fullyresolved. Including future null infini
 ty in a finite computational domain is ideal forgravitational wave extract
 ion\, which is typically done via extrapolation of Cauchy-Characteristic e
 xtraction. However\, these methods introduce numerical inaccuracieson the 
 extracted waveforms and are not\, in principal\, a solution to the problem
 . Inthis work\, we evolve simple toy models of general relativity on backg
 roundspacetimes using compactified hyperboloidal slices. For this purpose\
 , we use theEinstein Toolkit\, an extensive open-source program designed t
 o support numericalrelativity simulations. We solve the toy models in firs
 t order in time and space andfind good convergence. This work marks the fi
 rst successful implementation ofhyperboloidal slicing within the Einstein 
 Toolkit. It is a foundational step for futuredevelopment of these methods 
 on the toolkit\, and demonstrates its potential forapplications in numeric
 al relativity.
LAST-MODIFIED:20241203T100843Z
LOCATION:Online
URL:http://df.vps.tecnico.ulisboa.pt/en/events/towards-hyperboloidal-numer
 ical-relativity-with-the-einstein-toolkit/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="fbx8n">The goal of hyperbo
 loidal numerical relativity is to evolve the Einstein Field</p><p data-blo
 ck-key="3ldrb">Equations on compactified hyperboloidal slices\, which are 
 spacelike everywhere</p><p data-block-key="2fi4d">and extend smoothly to f
 uture null infinity. This is the location in asymptotically flat</p><p dat
 a-block-key="f42sr">spacetimes reached by outgoing null rays\, and where w
 aveforms become fully</p><p data-block-key="dhq5g">resolved. Including fut
 ure null infinity in a finite computational domain is ideal for</p><p data
 -block-key="bmdjn">gravitational wave extraction\, which is typically done
  via extrapolation of Cauchy-</p><p data-block-key="92te3">Characteristic 
 extraction.<br/><br/> However\, these methods introduce numerical inaccura
 cies</p><p data-block-key="calel">on the extracted waveforms and are not\,
  in principal\, a solution to the problem. In</p><p data-block-key="c5ha1"
 >this work\, we evolve simple toy models of general relativity on backgrou
 nd</p><p data-block-key="6c2fk">spacetimes using compactified hyperboloida
 l slices. For this purpose\, we use the</p><p data-block-key="7t853">Einst
 ein Toolkit\, an extensive open-source program designed to support numeric
 al</p><p data-block-key="dd4t7">relativity simulations. We solve the toy m
 odels in first order in time and space and</p><p data-block-key="acgt">fin
 d good convergence.<br/><br/> This work marks the first successful impleme
 ntation of</p><p data-block-key="8hed4">hyperboloidal slicing within the E
 instein Toolkit. It is a foundational step for future</p><p data-block-key
 ="41inj">development of these methods on the toolkit\, and demonstrates it
 s potential for</p><p data-block-key="4gbqn">applications in numerical rel
 ativity.</p>
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