Spinning mass & spatial distortion

  • Thread starter Thread starter Diracs Dad
  • Start date Start date
  • Tags Tags
    Mass Spinning
Diracs Dad
Messages
3
Reaction score
0
Hello, Does a spinning mass warp space time differently than a non rotating mass? Is the generated gravitational field different, and have there been any experiments to actually verify or falsify this?
 
Physics news on Phys.org
Diracs Dad said:
Hello, Does a spinning mass warp space time differently than a non rotating mass? Is the generated gravitational field different, and have there been any experiments to actually verify or falsify this?

Yes a spinning mass is different. Look up Kerr-Newman black hole versus Schwarzschild black hole (e.g. wikipedia for a start). A major impact of rotation is frame dragging. There are a number of experimental verifications of this. Again, for a very general question like yours, it wouldn't hurt to start with wikipedia (look up frame dragging).
 
Specifically look at the recent gravity probe B result on frame dragging :-). And I think the graity probe page has some discussion of the physics as well.
 
I started reading a National Geographic article related to the Big Bang. It starts these statements: Gazing up at the stars at night, it’s easy to imagine that space goes on forever. But cosmologists know that the universe actually has limits. First, their best models indicate that space and time had a beginning, a subatomic point called a singularity. This point of intense heat and density rapidly ballooned outward. My first reaction was that this is a layman's approximation to...
Thread 'Dirac's integral for the energy-momentum of the gravitational field'
See Dirac's brief treatment of the energy-momentum pseudo-tensor in the attached picture. Dirac is presumably integrating eq. (31.2) over the 4D "hypercylinder" defined by ##T_1 \le x^0 \le T_2## and ##\mathbf{|x|} \le R##, where ##R## is sufficiently large to include all the matter-energy fields in the system. Then \begin{align} 0 &= \int_V \left[ ({t_\mu}^\nu + T_\mu^\nu)\sqrt{-g}\, \right]_{,\nu} d^4 x = \int_{\partial V} ({t_\mu}^\nu + T_\mu^\nu)\sqrt{-g} \, dS_\nu \nonumber\\ &= \left(...
In Philippe G. Ciarlet's book 'An introduction to differential geometry', He gives the integrability conditions of the differential equations like this: $$ \partial_{i} F_{lj}=L^p_{ij} F_{lp},\,\,\,F_{ij}(x_0)=F^0_{ij}. $$ The integrability conditions for the existence of a global solution ##F_{lj}## is: $$ R^i_{jkl}\equiv\partial_k L^i_{jl}-\partial_l L^i_{jk}+L^h_{jl} L^i_{hk}-L^h_{jk} L^i_{hl}=0 $$ Then from the equation: $$\nabla_b e_a= \Gamma^c_{ab} e_c$$ Using cartesian basis ## e_I...

Similar threads

Replies
18
Views
2K
Replies
9
Views
2K
Replies
6
Views
2K
Replies
43
Views
8K
Replies
17
Views
4K
Replies
185
Views
10K
Replies
44
Views
3K
Back
Top