How Einstein proved equation about speed

  • Thread starter Thread starter Hepic
  • Start date Start date
  • Tags Tags
    Einstein Speed
Hepic
Messages
118
Reaction score
0
How einstein proved that equation: U=(V1+V2)/(1+(V1*V2)/c^2) ?
Thanks !
 
Physics news on Phys.org
As I see Lorentz helped a lot to this equations.
How lorenz proved them?
 
What did you not understand about the answer you got?
 

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 »
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 'Hawking After 54 Years Confirmed: BH surfaces don't shrink'

Abstract The gravitational-wave signal GW250114 was observed by the two LIGO detectors with a network matched-filter signal-to-noise ratio of 80. The signal was emitted by the coalescence of two black holes with near-equal masses ## m_1=33.6_{-0.8}^{+1.2} M_{⊙} ## and ## m_2=32.2_{-1. 3}^{+0.8} M_{⊙}##, and small spins ##\chi_{1,2}\leq 0.26 ## (90% credibility) and negligible eccentricity ##e⁢\leq 0.03.## Postmerger data excluding the peak region are consistent with the dominant quadrupolar...
View full post »

Similar threads

B Time Dilation in Non-Stationary Reference Frame: A, B, C
Replies
10
Views
2K
B How does Einstein's equation work? Why do we need to square c?
Replies
18
Views
1K
A Electrodynamics of moving bodies - §2: On the relativity of... (again)
Replies
35
Views
4K
Comparing Newton and Einstein - Who is Correct?
Replies
22
Views
4K
B Speed of Light Reflection: Einstein's Train & Mirrors
Replies
38
Views
4K
I A problem in the equations for Einstein's Special Theory of Relativity
Replies
8
Views
1K
B Speed of Light in Free Space - Einstein's Second Principle
Replies
8
Views
2K
B Is time an illusion?
Replies
5
Views
2K
I Is the sign of the Einstein equation right in Chandrasekhar's Black holes?
Replies
13
Views
2K
I Gravity Wave Speed: Deriving Constancy from Maxwell Eqs.
Replies
34
Views
2K

Hot Threads

Recent Insights

Back
Top