Recent content by DC0
-
I How much time dilation is there within a contracting remnant
I assume that this is because “timelike” and “position” reverse roles as you cross the event horizon to where things are imaginary. I may be repeating something you have already corrected but I need to make sure. In my model while the radius R of the remnant is about 1.75 times the...- DC0
- Post #19
- Forum: Special and General Relativity
-
I How much time dilation is there within a contracting remnant
in #9 Can you describe this? "relative time freeze" does occur in the correct GR models of situations like this. Thanks- DC0
- Post #17
- Forum: Special and General Relativity
-
I How much time dilation is there within a contracting remnant
Φ = - GM/R + ΣRr ΔΦ = - GM/R - mbr G Δr / r2 The equation was miss stated. It should have been Φ = - GM/R + ΣRr ΔΦ = - GM/R - ΣRr mbr G Δr / r2 Simply put, the gravitational potential at any radius r within the star remnant is the gravitational potential at the surface plus all the...- DC0
- Post #14
- Forum: Special and General Relativity
-
I How much time dilation is there within a contracting remnant
r n = ((mbr - mbr(n-1))/(ρ (4/3)π) + r3(n-1))(1/3) is used to feed r into the equation for Φ. It is derived from ρ = (mbr - mbr(n-1))/(4/3π ( r3n -r3(n-1) )) During the contraction as I was working layer by layer to the surface, I needed an equation, that described the new radius as a function...- DC0
- Post #12
- Forum: Special and General Relativity
-
I How much time dilation is there within a contracting remnant
ρ = 10(0.4838 Log P + 1.2372) was derived from a graph found at http://iopscience.iop.org/article/10.1088/0004-637X/773/1/11/meta figure 6, which describes neutron matter. r n = ((mbr - mbr(n-1))/( ρ (4/3)π) + r3(n-1))(1/3) is used to feed r into the equation for Φ. It is derived from ρ =...- DC0
- Post #10
- Forum: Special and General Relativity
-
I How much time dilation is there within a contracting remnant
To set up the density, the initial values of Δr and r are adjusted for each layer by going through several iterations of the next three equations: The pressure for each layer is Pr = ΣnN (Δmn) x (mbr) G /((r2) (4π r2)) , where mn is the mass within layer n and mbr is the mass...- DC0
- Post #7
- Forum: Special and General Relativity
-
I How much time dilation is there within a contracting remnant
Even though I am looking for an answer, I am not familiar with the GR math that applies to this scenario. I have used relativistic equations derived from general relativity that were factored into the Newtonian model. I have calculated results and I'm trying to make a comparison.- DC0
- Post #3
- Forum: Special and General Relativity
-
I How much time dilation is there within a contracting remnant
Relative to a remote point, when using the standard GR method, how does the rate of time passage (1 / gravitational time dilation) typically vary with radius within a contracting 5 solar mass supernova remnant, when its’ outer radius crosses a value of about 1.6 times the Schwarzschild radius?- DC0
- Thread
- Dilation Time Time dilation
- Replies: 21
- Forum: Special and General Relativity
-
Dimensions of Contraction due to Gravity
I’ve made the assumption that if the radius of a star R with mass M was equal to or smaller than Reh = 2GM/C^2 then you would have a black hole. Also using the equations for 1/ (time dilation) t / T = (1+2 U / C2 )^1/2 where U = (1/2)( G M r^2 / R^3 ) - (3/2)( G M / R) and...- DC0
- Post #6
- Forum: Special and General Relativity
-
Dimensions of Contraction due to Gravity
During a Super Nova, pressure and gravity causes matter to compress to about the density of a neutron, and as mass is added and the neutron star grows, time t on the surface dilates and slows relative to a point out in remote space T. This will happen even to a greater extent down toward the...- DC0
- Post #4
- Forum: Special and General Relativity
-
Dimensions of Contraction due to Gravity
I would like some information concerning GR and the dimensional contraction of a standard rod due to gravity. As the potential energy per unit mass decreases as one approaches the center of a planet, time dilates and therefore, space needs to contract, relative to one in deep space. I’ve seen...- DC0
- Thread
- Contraction Dimensions Gravity
- Replies: 6
- Forum: Special and General Relativity