I Two or more gravitational lenses perfectly aligned with Earth?

zuz
Messages
100
Reaction score
36
TL;DR Summary
2 or more gravitational lenses
Has anyone ever discovered 2 or more gravitational lenses perfectly aligned with earth? So one lens magnifies the galaxies behind it and another lens between the first and earth magnifies it even more? Would you even be able to tell if they were?
 
Physics news on Phys.org
zuz said:
TL;DR Summary: 2 or more gravitational lenses

Has anyone ever discovered 2 or more gravitational lenses perfectly aligned with earth? So one lens magnifies the galaxies behind it and another lens between the first and earth magnifies it even more? Would you even be able to tell if they were?
Take a look at the theory paper Viktor T. Toth, Non-coplanar gravitational lenses and the “communication bridge”, which states in §6:
"...in particular, a two-lens system (the so called gravitational lens “bridge”) delivers no advantages, no additional signal amplification over the amplification offered by a single lens near the source."
 
  • Like
  • Informative
Likes PeroK, PAllen and berkeman
renormalize said:
Take a look at the theory paper Viktor T. Toth, Non-coplanar gravitational lenses and the “communication bridge”, which states in §6:
"...in particular, a two-lens system (the so called gravitational lens “bridge”) delivers no advantages, no additional signal amplification over the amplification offered by a single lens near the source."
Thank you.
 
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...
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(...
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...
Back
Top