Help Needed: Understanding Equation No. 3 in an Article

  • Thread starter Thread starter Suminous
  • Start date Start date
  • Tags Tags
    article
Suminous
Messages
1
Reaction score
0
Sorry if I'm doing this wrong, first time poster.

I would like to find a book or article explaining at least some of the reasoning behind equation no. 3 in this article:

http://arxiv.org/pdf/0709.4593v2

I'm a bit surprised I haven't found what I'm looking for yet. I don't know if I'm just having a major brainfart or what. Some help would be much appreciated.
 
Physics news on Phys.org


Suminous said:
Sorry if I'm doing this wrong, first time poster.

I would like to find a book or article explaining at least some of the reasoning behind equation no. 3 in this article:

http://arxiv.org/pdf/0709.4593v2

I'm a bit surprised I haven't found what I'm looking for yet. I don't know if I'm just having a major brainfart or what. Some help would be much appreciated.

You better send an email to the authors and ask them if there is any reference regarding the validity of Eq. 3!

AB
 

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 '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 »

Thread 'Relativator (Circular Slide-Rule): Simulated with Desmos - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. The Relativator was sold by (as printed) Atomic Laboratories, Inc. 3086 Claremont Ave, Berkeley 5, California , which seems to be a division of Cenco Instruments (Central Scientific Company)... Source: https://www.physicsforums.com/insights/relativator-circular-slide-rule-simulated-with-desmos/ by @robphy
View full post »

Similar threads

I 3+1 split of the Electromagnetic Tensor and Maxwell's Equations
Replies
25
Views
2K
Quantum Textbooks or articles as an introduction to superconductors
Replies
5
Views
2K
B Cosmological time dilation of high-redshift quasars
Replies
8
Views
2K
B The Strong Energy Condition in General Relativity
Replies
6
Views
2K
I Interestingly Bohr Did Not Believe in Wavefunction Collapse
2
Replies
69
Views
7K
LaTeX Some help with LaTeX and Preview on this forum please
Replies
4
Views
3K
Possible mistake in an article (rotations and boosts).
2
Replies
85
Views
13K
B Where can I find easy-to-understand GAIA exoplanet data?
Replies
4
Views
2K
I Derive Relativistic Beaming Equation: Learn Physics Easily
Replies
1
Views
2K
I Noether's second theorem: two questions
Replies
7
Views
3K

Hot Threads

Recent Insights

Back
Top