Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proposal for Heisenberg uncertainty principle and STUR for curved
  backgrounds: an application to white dwarf, neutron stars and black holes   After a critical overview of the Generalized Uncertainty Principle (GUP)
applied to compact objects, we propose a texture of Heisenberg uncertainty
principle in curved spacetimes (CHUP). CHUP allows to write down physically
motivated STUR (spacetime uncertainty relations) in a generic background for a
non commutative spacetime in terms of tetrad variables. In order to study
possible quantum effects for compact astrophysical objects as white dwarf,
neutron stars and black holes, an expression for quantum fluctuations is
outlined. As a result, contrary to GUP-based claims, we found no evidence for
quantum effects concerning equilibrium equation and critical mass $M_c$ for
white dwarf and neutron stars. Conversely, our expression for CHUP confirms
that general relativistic effects strongly reduce the Oppenheimer-Volkoff
Newtonian limit for very compact astrophysical objects as neutron stars. In
particular, we found that for a degenerate relativistic Fermi gas, the maximum
mass decreases for increasing compactness of the star with a minimum critical
mass $M_c\simeq 0.59 M_{\odot}$ at the Buchdahl limit. Finally, we study
possible non commutative effects near the event horizon of a black hole.

23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci