Does Warping Spacetime Generate Mass?

  • Thread starter Thread starter daniel_i_l
  • Start date Start date
  • Tags Tags
    Mass Spacetime
daniel_i_l
Gold Member
Messages
864
Reaction score
0
If mass warps ST then can warped ST generate mass? For example, if I warp ST around a point (in ST) will that point have inertia? Will it be atracted to masses that warp ST more. Does this question make any sense? Thanks.
 
Physics news on Phys.org
Gravity waves are just ripples in space-time. However, they carry energy and momentum. As is the case for light, E^2 - p^2 = 0 (in geometric units), so a single gravity wave is massless. As is also the case for the light, if you have a pair of gravity waves traveling in opposite directions, the total momentum p is zero, but the total energy E is greater than zero, which means that the system comprising the pair of gravity waves has mass.

In GR gravity couples to energy (more precisely, the stress-energy tensor) rather than mass, anyway. The idea that gravity couples to mass is basically a carryover from Newtonian gravity.
 
Last edited:

Thread 'Describing the Big Bang'

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...
View full post »
Thread 'Dirac's integral for the energy-momentum of the gravitational field'

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(...
View full post »

Thread 'A sufficient condition for integrability of equation ##\nabla g=0##'

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...
View full post »

Similar threads

B Ride Gravitational Waves to Increase Speed?
Replies
6
Views
2K
I Does the Alcubierre drive shorten distances?
Replies
32
Views
2K
B A question about warp bubbles and navigation
Replies
22
Views
614
I Calculating Spacetime Around Multiple Objects
Replies
7
Views
2K
B FAQs about Bobrick & Martire's Warp Drive & Lentz's Paper
Replies
11
Views
3K
B How Planetary Bodies Affect Space Time
Replies
4
Views
1K
B I have a few questions about Warp drives? I am a layman.
Replies
4
Views
1K
I Alcubierre Warp Drive: Spacetime Diagram Explained
Replies
12
Views
3K
B What Causes Mass to Exert Gravitational Pull?
Replies
1
Views
2K
B Can We Create a Warp Drive for Light? - Josh's Curiousity
Replies
15
Views
2K

Hot Threads

Recent Insights

Back
Top