Overview of the topic and current topics/unsolved problems

  • Thread starter Thread starter sbalian
  • Start date Start date
  • Tags Tags
    Current Topic
sbalian
Messages
2
Reaction score
0
Hi

Was just wondering if anybody knows of a book (or a website) summarizing the general relativity story from Einstein's days to current topics and research areas. I'll be hopefully doing my MSc in physics, but am not sure about choosing the general relativity modules. I need to have some idea of the research frontiers closely related to this topic i.e. any unsolved problems? applications of the theory?

Thanks in advance

Seto
 
Physics news on Phys.org
Cheers. I also ordered Relativity by A Einstein. Not very mathematical, but still good background reading.

Seto
 

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

Looking for interdisciplinary institutes/groups (Europe preferred)
Replies
4
Views
2K
Courses Looking for recommendations for topics for a master's thesis
Replies
1
Views
1K
Any ideas for unsolved topics in Mathematical Physics?
Replies
2
Views
2K
Other Looking for a cosmology problem for pursuing my PhD
Replies
10
Views
2K
Courses Topics for undergraduate mathematics and physics research
Replies
7
Views
5K
Exploring the Frontiers of Physics: An Amateur Scientist's Journey
Replies
1
Views
1K
Other Quantum Information and General Relativity
Replies
2
Views
2K
Other Undergraduate research on gravitational waves
Replies
1
Views
2K
A reasonable topic for a write-up in theoretical physics
Replies
7
Views
3K
Undergraduate Senior Physics Research Topic (Theory)
Replies
6
Views
3K

Hot Threads

Recent Insights

Back
Top