Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Einstein's $R^{\hat{0} \hat{0}}$ equation for non-relativistic sources
  derived from Einstein's inertial motion and the Newtonian law for relative
  acceleration   With Einstein's inertial motion (free-falling and non-rotating relative to
gyroscopes), geodesics for non-relativistic particles can intersect repeatedly,
allowing one to compute the space-time curvature $R^{\hat{0} \hat{0}}$ exactly.
Einstein's $R^{\hat{0} \hat{0}}$ for strong gravitational fields and for
relativistic source-matter is identical with the Newtonian expression for the
relative radial acceleration of neighboring free-falling test-particles,
spherically averaged.--- Einstein's field equations follow from Newtonian
experiments, local Lorentz-covariance, and energy-momentum conservation
combined with the Bianchi identity.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg