Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A free parametrized TOV: Modified Gravity from Newtonian to Relativistic
  Stars   We test a free {\it ad hoc} parametrization of the Tolman-Oppenheimer-Volkoff
(TOV) equation. We do not have in mind any specific extended theory of gravity
(ETG) but each new parameter introduced has a physical interpretation. Our aim
is fully pedagogical rather than a proposal for a new ETG. Given a realistic
neutron star equation of state we map the contributions of each new parameter
into a shift in trajectories of the mass-radius diagram. This exercise allows
us to make the correspondence between each TOV sector with possible
modifications of gravity and clarifies how neutron star observations are
helpful for distinguishing theories.

13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex