Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Light deflection in Weyl gravity: constraints on the linear parameter   Light deflection offers an unbiased test of Weyl's gravity since no
assumption on the conformal factor needs to be made. In this second paper of
our series ``Light deflection in Weyl gravity'', we analyze the constraints
imposed by light deflection experiments on the linear parameter of Weyl's
theory. Regarding solar system experiments, the recent CASSINI Doppler
measurements are used to infer an upper bound, $\sim 10^{-19} $m$^{-1}$, on the
absolute value of the above Weyl parameter. In non-solar system experiments, a
condition for unbound orbits together with gravitational mirage observations
enable us to further constrain the allowed negative range of the Weyl parameter
to $\sim -10^{-31} $m$^{-1}$. We show that the characteristics of the light
curve in microlensing or gravitational mirages, deduced from the lens equation,
cannot be recast into the General Relativistic predictions by a simple
rescaling of the deflector mass or of the ring radius. However, the corrective
factor, which depends on the Weyl parameter value and on the lensing
configuration, is small, even perhaps negligible, owing to the upper bound
inferred on the absolute value of a negative Weyl parameter. A statistical
study on observed lensing systems is required to settle the question.
  Our Weyl parameter range is more reliable than the single value derived by
Mannheim and Kazanas from fits to galactic rotation curves, $\sim +10^{-26}\
$m$^{-1}$. Indeed, the latter, although consistent with our bounds, is biased
by the choice of a specific conformal factor.

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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas