3 research outputs found
Neutron star solutions in perturbative quadratic gravity
We study the structure of neutron stars in R+\beta\ R^{\mu \nu} R_{\mu \nu}
gravity model with perturbative method. We obtain mass--radius relations for
six representative equations of state (EoSs). We find that, for |\beta| ~ 10^11
cm^2, the results differ substantially from the results of general relativity.
Some of the soft EoSs that are excluded within the framework of general
relativity can be reconciled for certain values of \beta\ of this order with
the 2 solar mass neutron star recently observed. For values of \beta\ greater
than a few 10^11 cm^2 we find a new solution branch allowing highly massive
neutron stars. By referring some recent observational constraints on the
mass--radius relation we try to constrain the value of \beta\ for each EoS. The
associated length scale \sqrt{\beta} ~ 10^6 cm is of the order of the typical
radius of neutron stars implying that this is the smallest value we could find
by using neutron stars as a probe. We thus conclude that the true value of
\beta\ is most likely much smaller than 10^11 cm^2.Comment: 19 pages, 9 figures. v2: Analysis on validity of perturbative
approach is added. References added. v3: Aesthetic improvement
Neutron stars in a perturbative gravity model with strong magnetic fields
We investigate the effect of a strong magnetic field on the structure of
neutron stars in a model with perturbative gravity. The effect of an
interior strong magnetic field of about G on the equation of
state is derived in the context of a quantum hadrodynamics (QHD) model. We
solve the modified spherically symmetric hydrostatic equilibrium equations
derived for a gravity model with . Effects of both the
finite magnetic field and the modified gravity are detailed for various values
of the magnetic field and the perturbation parameter along with a
discussion of their physical implications. We show that there exists a
parameter space of the modified gravity and the magnetic field strength, in
which even a soft equation of state can accommodate a large ( M)
maximum neutron star mass through the modified mass-radius relation