Аннотация:
We consider the effects that modifications to general relativity (GR) at high densities may have on the structure
of spherical compact objects. Such effects can be modeled via
semi-classical corrections that are manifest in an additional
effective (i.e. non-physical) term in the energy momentum
tensor. In particular, we consider two kinds of effective corrections that are quadratic in the density: one inspired by
loop quantum gravity (LQG) and one inspired by Einstein–
Cartan Theory (ECT). For both corrections, we consider two
standard toy models of compact objects, one with polytropic
equation of state and the other described by the MIT-bag
model. We show that the LQG-inspired corrections can produce objects with greater radius and total mass, while the
ECT-inspired corrections produce objects that are smaller
and less massive than their counterparts in GR