Hi, I had a doubt about this graph, Why do we have a 'Mass of the sun' parameter in the x-axis, What is the logic behind it? Warm Regards
Hi Thejas,
In the Einstein Toolkit, we use, as is common in numerical relativity, units where the speed of light, c, and the gravitational constant, G, are chosen to be c=G=1. In addition, we measure mass in units of the solar mass, M_sun. 1 solar mass can be converted into a length by multiplying by G and dividing by c^2. This is then the unit of length. We can convert that into a time by dividing by c. So the unit of length and time in SI units are then
[L] = 1 M_sun*G/c^2 = 1477 m. [T] = 1 M_sun*G/c^3 = 4.93 10^-6 s.
As can be seen, the unit of length is 1 half the Scharzschild radius of a black hole with a mass of 1 solar mass. The unit if time is then the time it takes light to travel that distance.
Cheers,
Peter
On Thu, 10 Aug 2023, Thejas A Nair wrote:
Hi, I had a doubt about this graph, Why do we have a 'Mass of the sun' parameter in the x-axis, What is the logic behind it? Warm Regards
Thank you so much for the info!
On Thu, 10 Aug 2023, 11:16 pm Peter Diener, diener@cct.lsu.edu wrote:
Hi Thejas,
In the Einstein Toolkit, we use, as is common in numerical relativity, units where the speed of light, c, and the gravitational constant, G, are chosen to be c=G=1. In addition, we measure mass in units of the solar mass, M_sun. 1 solar mass can be converted into a length by multiplying by G and dividing by c^2. This is then the unit of length. We can convert that into a time by dividing by c. So the unit of length and time in SI units are then
[L] = 1 M_sun*G/c^2 = 1477 m. [T] = 1 M_sun*G/c^3 = 4.93 10^-6 s.
As can be seen, the unit of length is 1 half the Scharzschild radius of a black hole with a mass of 1 solar mass. The unit if time is then the time it takes light to travel that distance.
Cheers,
Peter
On Thu, 10 Aug 2023, Thejas A Nair wrote:
Hi, I had a doubt about this graph, Why do we have a 'Mass of the sun'
parameter
in the x-axis, What is the logic behind it? Warm Regards
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