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In this work, we have investigated anisotropic neutron stars in the frameworkof Rastall-Rainbow gravity. All our calculations were computed using the IU-FSUrealistic equation of state (EoS), in which was considered two cases: standardnucleonic composition and the one with the eight lightest baryons. From theneutron star masses and radii obtained we conclude that anisotropic pressurehas significant consequences on the structure of stellar objects. Inparticular, when anisotropy is considered within the general relativityframework, it significantly modifies the maximum stellar mass. On the otherhand, when Rastall-Rainbow gravity and anisotropy are simultaneouslyconsidered, they provide the best results for mass and radius values, includingimportant astrophysical objects such as the LMXB NGC 6397 and the extremelymassive pulsar millisecond MSP J0740 + 6620. Although the expected inclusion ofhyperons in the nuclear model reproduces stellar masses smaller than thoseproduced by standard nucleonic matter, we shown that the hyperon puzzle problemcan be solved by including anisotropic effects on compact stars in the contextof the Rastall-Rainbow gravity.

Anisotropic Compact Stars in Rastall-Rainbow Gravity