Recent content by astrolollo
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Graduate Lyman-alpha forest: why not Lyman-beta?
I don't think this is the case.. The high-z quasar has a continuum emission. A cloud at lower z will not interact with the radiation coming from the Ly-a or Ly-beta emission of the quasar, but with photons that were emitted at a higher energy. Since the cloud should be quite cold (~10 K ?)...- astrolollo
- Post #3
- Forum: Astronomy and Astrophysics
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Graduate Lyman-alpha forest: why not Lyman-beta?
Hello everyone! We observe the so-called Lyman-alpha forest in the spectrum of distant quasars and it is said that these multiple absorption lines are due to the presence of intergalactic HI clouds that absorb light at the wavelength of 1216 A , the Lyman-alpha transition. My question is the...- astrolollo
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- Forest Hydrogen Lyman alpha Quasar
- Replies: 5
- Forum: Astronomy and Astrophysics
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Undergrad Why does temperature always rise in stars?
Thanks for the reply! Is this further contraction due to nuclear burning governed by the virial thm too?- astrolollo
- Post #3
- Forum: Astronomy and Astrophysics
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Undergrad Why does temperature always rise in stars?
Hello everyone, I know that pre-main sequence stars do heat up because of gravitational contraction, and the increase in internal energy (and so in temperature) comes from this shrinking and is governed by the virial theorem (...- astrolollo
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- Rise Stars Temperature Virial theorem
- Replies: 3
- Forum: Astronomy and Astrophysics
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Graduate How Does the Penrose Process Allow for Energy Extraction from a Black Hole?
Ok thanks. I guess though that the process is efficient only for very high energetic photons, since they will undergo a gravitational redshift anyway. Is this correct?- astrolollo
- Post #3
- Forum: Special and General Relativity
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Graduate How Does the Penrose Process Allow for Energy Extraction from a Black Hole?
Hi everyone, I am a bit confused about the Penrose Process. Let's say a particle with energy E at infinity arrives in the ergoregion of a Kerr black hole and then it decays into two photons. One of them has L_1<0 and E_1<0 and hence it falls towards the singularity, while the other has L_2>0...- astrolollo
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- Kerr Mystery Penrose Process
- Replies: 3
- Forum: Special and General Relativity
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Graduate How Does Turbulence Restore the Poloidal Magnetic Field in Solar Reversals?
@Hornbein Ok, but how does this turbulence restore the polodial field? This is written everywhere but no one explains HOW this happens- astrolollo
- Post #9
- Forum: Astronomy and Astrophysics
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Graduate Conserved quantities for massless particles (Schwarzschild)
Ok, thanks everyone. But I've never seen the geodesic equation written in terms of momentum. On the Internet I can only find something about deriving the geodesic equation from ##\nabla _{\nu}T^{\mu \nu} =0##. Moreover, for massive particles the conserved quantity in S. metric is...- astrolollo
- Post #15
- Forum: Special and General Relativity
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Graduate Conserved quantities for massless particles (Schwarzschild)
But these conservation laws are not obvious. A mathematical proof is needed. What do you mean by "they're a matter of choosing the best definition"? I mean, it can be proved that if a metric admits a KVF one can define conserved quantities. I know how to prove that ##U_{\mu} V^{\mu}## is...- astrolollo
- Post #7
- Forum: Special and General Relativity
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Graduate Conserved quantities for massless particles (Schwarzschild)
Ok, Thanks. Where can I find a proof of what you say, namely that the fundamental conserved quantity is ## V^{\mu} P_{\mu}## and not ##V^{\mu}U_{\mu}##?- astrolollo
- Post #4
- Forum: Special and General Relativity
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Graduate Conserved quantities for massless particles (Schwarzschild)
If a metric admits a Killing vector field ##V ## it is possible to define conserved quantities: ## V^{\mu} u_{\mu}=const## where ## u^{\mu}## is the 4 velocity of a particle. For example, Schwarzschild metric admits a timelike Killing vector field. This means that the quantity ##g_{\mu 0}...- astrolollo
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- Conserved quantities Massless Massless particles Particles quantities Schwarzschild
- Replies: 15
- Forum: Special and General Relativity
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Graduate How Does Turbulence Restore the Poloidal Magnetic Field in Solar Reversals?
Hello everyone I have a question: I know what alpha/omega dinamo is, and I think I have understood how this model explains Joy's law and Hale's law, but I don't get how it allows the magnetic field to become poloidal again (after having become toroidal due to differential rotation) and with the...- astrolollo
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- Field Magnetic Magnetic field Solar
- Replies: 9
- Forum: Astronomy and Astrophysics
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Graduate Poisson, Einstein, Weak Energy Condition
Hello In Newtonian theory Poisson's equation holds: ## \nabla ^{2} U = 4 \pi G \rho ##. So: given a density ##\rho ##, it is possible to find a potential U. On the other hand, I can choose a random function U and give it a gravitational significance if it gives, by Poisson's eq., a density...- astrolollo
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- Condition Einstein Energy Poisson Weak
- Replies: 1
- Forum: Special and General Relativity
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Graduate Independent Killing vector field
I know that from Killing equation the Killing field takes the form (for flat space): ##V_{\alpha}= c_{\alpha} + A_{\alpha \beta} x^{\beta}##. I know this vector field can be expressed as a linear combination of 10 certain vectors. I am wondering how it is possible that those 10 vectors are...- astrolollo
- Post #3
- Forum: Special and General Relativity
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Graduate Independent Killing vector field
Hello everyone How is it possible that a n-dimensional spacetime admits m> n INDEPENDENT Killing vectors where m=n(n+1)/2 if the space is maximally symmetric?- astrolollo
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- Field Independent Killing vector Vector Vector field
- Replies: 3
- Forum: Special and General Relativity