Relativity Revisited: Flora Lopis & Max Tegmark (MIT)

  • Thread starter Thread starter robphy
  • Start date Start date
  • Tags Tags
    Relativity
robphy
Science Advisor
Homework Helper
Insights Author
Gold Member
Messages
7,243
Reaction score
2,727
"Relativity Revisited"

"Relativity Revisited"
Authors: Flora Lopis (MIT), Max Tegmark (MIT)

abstract:
Was Einstein wrong? This paper provides a detailed technical review of Einstein's special and general relativity from an astrophysical perspective, including the historical development of the theories, experimental tests, modern applications to black holes, cosmology and parallel universes, and last but not least, novel ways of expressing their seven most important equations.

http://arxiv.org/abs/0804.0016


(Here is the Fall 06 offering of 8.033 http://ocw.mit.edu/OcwWeb/Physics/8-033Fall-2006/CourseHome/index.htm )
 
Last edited by a moderator:
Physics news on Phys.org
Flora Lopis and I go way back!

Its good to see her again at this time of the year. :biggrin:

Garth
 
robphy said:
"Relativity Revisited"
Authors: Flora Lopis (MIT), Max Tegmark (MIT)

abstract:
Was Einstein wrong? This paper provides a detailed technical review of Einstein's special and general relativity from an astrophysical perspective, including the historical development of the theories, experimental tests, modern applications to black holes, cosmology and parallel universes, and last but not least, novel ways of expressing their seven most important equations.

http://arxiv.org/abs/0804.0016


(Here is the Fall 06 offering of 8.033 http://ocw.mit.edu/OcwWeb/Physics/8-033Fall-2006/CourseHome/index.htm )

please tell me how could I downlolad the fujll text.
thanks
 
Last edited by a moderator:
bernhard.rothenstein said:
please tell me how could I downlolad the fujll text.
thanks

Visit
http://arxiv.org/abs/0804.0016
then, in the upper-right corner, click on PDF in the Download section.

Garth said:
Flora Lopis and I go way back!
Hehe... I didn't catch that until your comment.
 
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...

Similar threads

Back
Top