Relativity : the Special and General Theory

Mattara
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I have posted links to the original papers on Relativity : the Special and General Theory made by Albert Einstein

https://www.physicsforums.com/showthread.php?t=105854

Please make this post sticky (since this is the sole core of the subject).
 
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Hi,

Thanks for the links. We used to stick threads with useful links to the top of some forums, but we are getting away from that because all the stickes make the forums too cluttered. Instead we put links in the Local Link Directory. Go to the main page and in the upper right corner you'll see a menu. The button marked "Links" takes you there. The Link Directory is nice because it's searchable.

Someone has already submitted Sidelights, but the other one is not there. You can submit it, if you like.
 
ah ok :blushing: didn't know

go ahead and delete this topic and the tutorial one also :)
 
I'll leave this one, and delete the other one. The Tutorial Forum is more for documents that can help students solve homework problems. For example a document that shows some solutions to a selection of problems involving conservation of 4-momentum would be what we are looking for in a Special Relativity "tutorial".

Thanks again,

TM
 

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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...
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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(...
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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...
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