Thanks for the help Barry, Ian and Erik. 

Cheers, 
Francisco 


From: "Barry Wardell" <barry.ward...@gmail.com> 
To: "Ian Hinder" <ian.hin...@aei.mpg.de> 
Cc: "Einstein Toolkit Users" <users@einsteintoolkit.org> 
Sent: Wednesday, April 12, 2017 3:58:07 PM 
Subject: Re: [Users] units 

Hi Francisco, 
To add a little more detail to what Ian and Erik already said, you might find 
it helpful to look at the Waveforms SimulationTools tutorial [ 
http://simulationtools.org/examples/Waveforms.cdf ] from the BBH gallery 
example page. This gives a short explanation of the units in that simulation 
along with demonstrations of how to interpret the data from the simulation in 
terms of those units. 

Regards, 
Barry 

On 12 April 2017 at 21:21, Ian Hinder < ian.hin...@aei.mpg.de > wrote: 




On 12 Apr 2017, at 22:12, Erik Schnetter < schnet...@cct.lsu.edu > wrote: 


BQ_BEGIN

Francisco 
Without hydrodynamics, nothing fundamental sets the mass scale. If you assume 
that c = G = 1, then there is a rescaling freedom for M, the black hole mass. 
Apart from this, it is up to the designer of the parameter file what they call 
M. I think that the ADM mass is a good choice, but others might use a different 
convention. 



Hi Erik, 

If you want the units of the simulation to be the ADM mass, then you need a 
mechanism to iterate the bare mass parameters of the punctures to make this the 
case. We don't have that in TwoPunctures; we iterate until we get the puncture 
masses equal to the targets. I think it is useful to compare two BBH systems 
where the BHs have the same total mass. This would be natural also if you were 
comparing with PN. I'm not sure it is so useful to compare systems with the 
same ADM mass; the ADM mass will consist of the BH masses, plus the energy 
content in the junk radiation, and the orbital energy. The junk radiation isn't 
very interesting, which is why I am rarely interested in M_ADM. 


BQ_BEGIN

For example, in < http://einsteintoolkit.org/gallery/bbh/index.html > I assume 
that M_ADM = 1, but I don't know whether this is taken from the initial 
conditions or whether this is measured after the initial junk radiation has 
left. 

BQ_END

No, M_ADM is not 1 for that parameter file. It's 

initial-ADM-energy = 0.9899366929086094169 

In the parameter file, we have 
q = 36.0/29.0               # Mass ratio: q = mp/mm >= 1
M = 1.0                     # Total mass 
mp = M * q/(1+q)           # Heavier, larger BH, AH1, SS 0
mm = M * 1/(1+q)           # Lighter, smaller BH, AH2, SS 1 
TwoPunctures::target_M_plus             = $mp
TwoPunctures::target_M_minus            = $mm 

so the sum of the puncture masses is 1 in the units of the simulation, so the 
units of the simulation are the sum of the puncture masses. 

-- 
Ian Hinder 
http://members.aei.mpg.de/ianhin 


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BQ_END



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