Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Running of the Spectral index in Deformed Matter Bounce Scenarios with
  Hubble-rate-dependent Dark Energy   As a deformed matter bounce scenario with a dark energy component we propose
a deformed one with running vacuum model (RVM) in which the dark energy density
is written as a power series of $H^2$ and $\dot H$ with a constant equation of
state parameter same as the cosmological constant. Our results in analytical
and numerical point of views show that in some cases same as LCDM bounce
scenario, although the spectral index may achieve a good consistency with
observations, a positive value of running of spectral index is obtained which
is not compatible with inflationary paradigm where it predicts a small negative
value for $\alpha_s$. However, by extending the power series up to $H^4$,
$\rho_{\Lambda}=n_0+n_2 H^2+n_4 H^4$, and estimating a set of consistent
parameters, we obtain the spectral index $n_s$, a small negative value of
running $\alpha_s$ and tensor to scalar ratio $r$, which these reval a
degeneracy between deformed matter bounce scenario with RVM-DE and inflationary
cosmology.

17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th