Gravity's Restoring Force - Explained

  • Thread starter Thread starter fys iks!
  • Start date Start date
  • Tags Tags
    Force
fys iks!
Messages
40
Reaction score
0
Hey so I'm beginning to study GR and i am at the point of gravity being deformations in the 4 dimensional geometry of spacetime.

Say there is an object traveling through spacetime with a velocity and the object is large enough to create a deformation in the space around it (an asteroid for example). Now at one point in time the asteroid is at a point in space, warping the the spacetime around it (point A). Now at a later time the asteroid in at a different position in space, warping that space time (Point B).

When the asteroid is at point B then the space at point A has returned to it original "normal" geometry.

My question is what force/energy is responsible for restoring the spacetime at Point A to its original form?

Thanks
 
Physics news on Phys.org
fys iks! said:
Hey so I'm beginning to study GR and i am at the point of gravity being deformations in the 4 dimensional geometry of spacetime.

Say there is an object traveling through spacetime with a velocity and the object is large enough to create a deformation in the space around it (an asteroid for example). Now at one point in time the asteroid is at a point in space, warping the the spacetime around it (point A). Now at a later time the asteroid in at a different position in space, warping that space time (Point B).

When the asteroid is at point B then the space at point A has returned to it original "normal" geometry.

My question is what force/energy is responsible for restoring the spacetime at Point A to its original form?

Thanks
Spacetimes do not warp and unwarp in time, time is a integral component of spacetime.
 
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...
Back
Top