arXiv subjects

Daniel Sudarsky

Publications and source records attributed to Daniel Sudarsky.

113 records · Page 7Linked to original sources

arXiv1996

Has cosmological dark matter been observed?

There are many indications that ordinary matter represents only a tiny fraction of the matter content of the Universe, with the remainder assumed to consist of some different type of matter, which, for various reasons must be nonluminous (dark matter). Among these indications are the inflationary scenarios which predicts that the average energy density of the Universe coincides with the so called critical value (for which the expansion never stops but the rate of expansion approaches zero at very late times). At the same time it is known (from the predictions of Big Bang nucleosynthesis on the abundances of the light elements, other than Helium) that the baryonic energy density (ordinary matter) must represent ($1.5\pm 0.5)h^{-2}$ \% (where $h$ is the Hubble constant in units of 100 km s$^{-1}$Mpc$^{-1}$) of this critical value \cite{Copi,OstStein}. We present here evidence supporting the model in which the rest of the energy density corresponds to a scalar field, which can be observed, however indirectly, in the oscillation of the effective gravitational constant, and manifests itself in the known periodicity of the number distribution of galaxies \cite{Broad,Szalay}. We analyze this model numerically and show that, the requirement that the model satisfy the bounds of light element abundances in the Universe, as predicted by Big Bang nucleosynthesis, yields a specific value for the red-shift-galactic-count oscillation amplitude compatible with that required to explain the oscillations described above \cite{hill,CritStein}, and, furthermore, yields a value for the age of the Universe compatible with standard bounds \cite{OstStein}.

gr-qc↗

arXiv1996

Galactic periodicity and the oscillating G model

We consider the model involving the oscillation of the effective gravitational constant that has been put forward in an attempt to reconcile the observed periodicity in the galaxy number distribution with the standard cosmological models. This model involves a highly nonlinear dynamics which we analyze numerically. We carry out a detailed study of the bound that nucleosynthesis imposes on this model. The analysis shows that for any assumed value for $Ω$ (the total energy density) one can fix the value of $Ω_{\rm bar}$ (the baryonic energy density) in such a way as to accommodate the observational constraints coming from the $^4{\rm He}$ primordial abundance. In particular, if we impose the inflationary value $Ω=1$ the resulting baryonic energy density turns out to be $Ω_{\rm bar}\sim 0.021$. This result lies in the very narrow range $0.016 \leq Ω_{\rm bar} \leq 0.026$ allowed by the observed values of the primordial abundances of the other light elements. The remaining fraction of $Ω$ corresponds to dark matter represented by a scalar field.

gr-qc↗

arXiv1996

Black holes have no short hair

We show that in all theories in which black hole hair has been discovered, the region with non-trivial structure of the non-linear matter fields must extend beyond 3/2 the horizon radius, independently of all other parameters present in the theory. We argue that this is a universal lower bound that applies in every theory where hair is present. This {\it no short hair conjecture} is then put forward as a more modest alternative to the original {\it no hair conjecture}, the validity of which now seems doubtful.

gr-qc↗

arXiv1995

How short can the hair of a black hole be?

We show that in all theories in which black hole hair has been discovered, the region with non-trivial structure of the non-linear matter fields must extend beyond $3/ 2$ the horizon radius, independently of all other parameters present in the theory. We argue that this is a universal lower bound that applies in every theory where hair is present. This {\it no short hair conjecture} is then put forward as a more modest alternative to the now debunked {\it no hair conjecture}.

gr-qc↗

arXiv1993

Mass Formulas for Stationary Einstein-Yang-Mills Black Holes and a Simple Proof of Two Staticity Theorems

We derive two new integral mass formulas for stationary black holes in Einstein-Yang-Mills theory. From these we derive a formula for $ \J Ω-Q V $, from which it follows immediately that any stationary, nonrotating, uncharged black hole is static and has vanishing electric field on the static slices. In the Einstein-Maxwell case, we have, in addition, the ``generalized Smarr mass formula", for which we provide a new, simple derivation. When combined with the other two formulas, we obtain a simple proof that nonrotating Einstein-Maxwell black holes must be static and have vanishing magnetic field on the static slices. Our mass formulas also can be generalized to cases with other types of matter fields, and we describe the nature of these generalizations.

gr-qc↗