Where did General Relativity Come From

Galadirith
Messages
107
Reaction score
0
Hi guys, I have been wondering where did General Relativity actually start. I know obviously that it came a while after 'ON THE ELECTRODYNAMICS OF MOVING BODIES' and Einstein was considering adding various things to his theory of SR. I hope I'm not naive in thinking this But was there a paper like 'On The..' where he describes his findings. Where where his field equations proposed? I've search everywhere but strangely I can't find any reference to and of his publications after 1905. Thanks guys :-)
 
Physics news on Phys.org
The principle of relativity is a general principle that must be described in order to describe how *special relativity* differs from normal interact, mainly in terms of the "speed" of light.

Although, I admit, I'm not quite sure if that gives you a complete answer that you're looking for, does it?
 
His paper was published in 1915, called "Die Feldgleichungen der Gravitation (The Field Equations of Gravitation)"

Basically, General relativity comes by extension of special relativity. One supposes that experiments in an accelerating reference frame are indistringuishible from those in a gravitational field. The rest sort of... falls out. almost.
 
It seems obvious now, that because accelerating bodies have curved worldlines in space-time diagrams, we can straighten those lines by transforming the axes somehow. This means instead of the flat space metric ( -1, 1, 1, 1) we use a general one, gab where each component can depend on position and/or time.

After that ( to quote DeShark) "The rest sort of... falls out".
 
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