Eddington-Finkelstein coordinates

  • Thread starter Thread starter dlw181
  • Start date Start date
  • Tags Tags
    Coordinates
dlw181
Messages
2
Reaction score
0
Can anyone tell me the date and the journal of Eddington's original paper that suggested the new coordinate system to remove the Schwarzschild singularity? I understand it was in the 1920s.

Thanks.
 
Physics news on Phys.org
Last edited:
Awesome! Thank you!
 

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

I Eddington-Finkelstein coordinates for Schwarzschild metric
Replies
9
Views
3K
B Black Hole Observation: Outside Observer & Spherical Symmetry
Replies
3
Views
1K
A Continuation of Coordinates Across Black Hole Horizons
Replies
5
Views
2K
Levi-Civita Connection & Riemannian Geometry for GR
Replies
6
Views
2K
Lemaitre Coordinate from the E-F coordinate
Replies
1
Views
2K
A Kerr Metric: Removing Singularity via Coordinate Transformation
Replies
1
Views
1K
Lightcones in advanced Eddington-Finkelstein coordinates
Replies
8
Views
3K
Eddington Finkelstein coordinates in the Schwarzschild spacetime
Replies
4
Views
4K
When is something Lorentz invariant.
Replies
1
Views
2K
Outgoing Eddington-Finkelstein coordinates
Replies
2
Views
4K

Hot Threads

Recent Insights

Back
Top