Space Time Curvature Question.

[futago92]

Ok, I have been wondering. I heard that Space/time is Curved when it comes into contact with mass correct? If this is so, then would it be possible to calculate the volume(or some equation) for the curvature of space/time around my own mass or a mass larger then mine?

I have already calculated the Angle of Deflection of a proton around my body, is this necessary for my question or no?

Thank you so much

-Futago92

 

[Ikoro]

Well, i do not know an equation that explains or tries to calculate the volume of a space-time manifold. but it could be an interesting work to try do. I mean you would have to know the density of the planet by knowing the gravitational field. just like throwing a ball into a water the water displacement - the water left is the density. You could try calculating the gravitational field influenced by the sun - the gravitational filed influenced by the planet then you could get your planets density supposedly...
OR
you could just use an object rotating round the planet and then equate the cyclotron frequency to the gravitational field. goodluck
and since your body's gravitational field is supposedly canceled because of the Earth's gravitational field it won't be of any use to calculate the angle of deflection of protons around your body cause it cant..WHY? well your mass or force produced by your weight is not significant enough.
I experimented curling a beam of photons into itself with intense magnetic field.

 

[futago92]

to do this I would have to know how much space curves when in contact with mass. or gravitational pull, I think. I was thinking of some parabolic equation maybe.

 

[Ikoro]

if you are looking for some real nasty parabolic equations well you could try looking up some of einsteins equations that prove the curvature of light from stars around massive objects..then you could get your angle of deflection and work your way up to the different angles
\mathrm{vol}_g = \sqrt{|\det g|}\,dx^0\wedge dx^1\wedge dx^2\wedge dx^3

you could look into the metric tensor of general relativity used in desciribing the volume of spacetime manifold but it is very messy.
http://en.wikipedia.org/wiki/Metric_tensor_(general_relativity)

 

[futago92]

haha thanks. I think I'll save this for a rainy day. :)