Sundance said:
Hello
I cannot remember if I posted this link before.
I like to have a remark on this paper.
http://arxiv.org/abs/0810.0153
Expanding Space: The Root of Conceptual Problems of the Cosmological Physics
Authors: Yu. V. Baryshev (Astron.Inst.St.-Petersburg Univ.)
(Submitted on
1 Oct 2008)
Honestly, I don't know who Baryshev is, but these objections are just non-issues.
the violation of energy conservation for local comoving volumes
This isn't an issue because General Relativity has no requirement of such energy conservation. It's really easy to understand why this is the case: Newtonian gravity behaves in the exact same way, after all. Just take two test masses initially far away from one another. If you release them, what happens? Naturally they pick up speed and move towards one another.
But where did that energy come from? The standard answer is that it came from gravitational potential energy, which became more negative as the two masses got closer together and picked up speed.
Here's the problem, however: in the normal formulation of general relativity,
gravitational potential energy is not considered. If you ignore gravitational potential energy,
of course energy isn't going to be conserved.
But there is an alternative: the Hamiltonian formalism. And for a closed FRW universe, it turns out that the total energy is always identically zero: all of the positive energy in matter fields is made up by negative gravitational potential energy.
So that objection is meaningless.
the exact Newtonian form of the Friedmann equation
Well, this is interesting, but I don't see how it's a serious objection. Or even surprising. We know, after all, that whatever equations we make up from Newtonian gravity, those equations
must be the same as the prediction for General Relativity as long as the relative speeds remain low and the gravitational fields relatively weak. Since the Friedmann equation assumes a homogeneous, isotropic universe, the gravitational fields are by definition very, very weak. And since the two theories will necessarily have the same prediction locally, where the relative velocities (naively estimated) remain low, while at the same time the assumption of homogeneity is used, the same equation used locally will necessarily also be usable globally. So no, I think we should be more disturbed if this weren't the case, given the particular assumptions used in the derivation.
the absence of an upper limit on the receding velocity of galaxies which can be greater than the speed of light
Given that velocity is only well-defined locally in General Relativity, this is also not an objection. It is slightly unsettling to many people, but it is fully within the predictions of General Relativity, which only states that no massive object can ever outrun a light ray. General Relativity does not guarantee that light rays will be capable of reaching from anywhere to anywhere. In fact, if this were a serious objection, it would also indicate that the prediction of black holes should be considered equally as objectionable.
and the presence of the linear Hubble law deeply inside inhomogeneous galaxy distribution
All this means is that the assumptions of homogeneity and isotropy remain good approximations to the universe on large scales. I have seen nothing to indicate that our current knowledge of structure formation predicts that we should somehow see this Hubble law strongly violated.
So yeah, I am completely unimpressed by these objections.