Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Seeable universe and its accelerated expansion: an observational test   From the equivalence principle, one gets the strength of the gravitational
effect of a mass $M$ on the metric at position r from it. It is proportional to
the dimensionless parameter $\beta^2 = 2GM/rc^2$, which normally is $<< 1$.
Here $G$ is the gravitational constant, $M$ the mass of the gravitating body,
$r$ the position of the metric from the gravitating body and $c$ the speed of
light. The seeable universe is the sphere, with center at the observer, having
a size such that it shall contain all light emitted within it. For this to
occur one can impose that the gravitational effect on the velocity of light at
$r$ is zero for the radial component, and non zero for the tangential one.
Light is then trapped. The condition is given by the equality $R_g = 2GM/c^2$,
where $R_g$ represents the radius of the {\it seeable} universe. It is the
gravitational radius of the mass $M$. The result has been presented elsewhere
as the condition for the universe to be treated as a black hole. According to
present observations, for the case of our universe taken as flat ($k = 0$), and
the equation of state as $p = - \rho c^2$, we prove here from the Einstein's
cosmological equations that the universe is expanding in an accelerated way as
$t^2$, a constant acceleration as has been observed. This implies that the
gravitational radius of the universe (at the event horizon) expands as $t^2$.
Taking $c$ as constant, observing the galaxies deep in space this means deep in
time as $ct$, linear. Then, far away galaxies from the observer that we see
today will disappear in time as they get out of the distance ct that is $<
R_g$. The accelerated expanding vacuum will drag them out of sight. This may be
a valid test for the present ideas in cosmology. Previous calculations are here
halved by our results.

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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat