Combined Rastall and Rainbow theories of gravity with applications to neutron stars. (arXiv:1905.01250v1 [astro-ph.HE])
<a href="http://arxiv.org/find/astro-ph/1/au:+Mota_C/0/1/0/all/0/1">Clésio E. Mota</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Santos_L/0/1/0/all/0/1">Luis C. N. Santos</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Grams_G/0/1/0/all/0/1">Guilherme Grams</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Silva_F/0/1/0/all/0/1">Franciele M. da Silva</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Menezes_D/0/1/0/all/0/1">Débora P. Menezes</a>
The possibility of modifications on general relativity is investigated. We
propose an alternative theory of gravity constructed with the combination of
Rastall and Rainbow theories. The hydrostatic equilibrium equations are
obtained in order to test the new theory in neutron stars, whose mass-radius
diagrams are obtained using modern equations of state of nuclear matter derived
from relativistic mean field models and compared with the ones computed by the
Tolman-Oppenheimer-Volkoff equations. We conclude that substantial
modifications are obtained even for very small alterations on the two free
parameters, making the reproduction of astrophysical observations an easy task.
The possibility of modifications on general relativity is investigated. We
propose an alternative theory of gravity constructed with the combination of
Rastall and Rainbow theories. The hydrostatic equilibrium equations are
obtained in order to test the new theory in neutron stars, whose mass-radius
diagrams are obtained using modern equations of state of nuclear matter derived
from relativistic mean field models and compared with the ones computed by the
Tolman-Oppenheimer-Volkoff equations. We conclude that substantial
modifications are obtained even for very small alterations on the two free
parameters, making the reproduction of astrophysical observations an easy task.
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