We give the Buchdahl stability bound in Eddington-inspired Born-Infeld (EiBI) gravity. We show that this bound depends on an energy condition controlled by the model parameter κ. From this bound, we can constrain κ...We give the Buchdahl stability bound in Eddington-inspired Born-Infeld (EiBI) gravity. We show that this bound depends on an energy condition controlled by the model parameter κ. From this bound, we can constrain κ≤10^8m^2 if a neutron star with a mass around 3M⊙ is observed in the future. In addition, to avoid the potential pathologies in EiBI, a Hagedorn-like equation of state associated with κ at the center of a compact star is inevitable, which is similar to the Hagedorn temperature in string theory.展开更多
基金Supported in part by National Center for Theoretical Sciences and Mo ST(Mo ST-104-2112-M-007-003-MY3 and Mo ST-107-2119-M-007-013-MY3)Academia Sinica Career Development Award Program(AS-CDA-105-M06)
文摘We give the Buchdahl stability bound in Eddington-inspired Born-Infeld (EiBI) gravity. We show that this bound depends on an energy condition controlled by the model parameter κ. From this bound, we can constrain κ≤10^8m^2 if a neutron star with a mass around 3M⊙ is observed in the future. In addition, to avoid the potential pathologies in EiBI, a Hagedorn-like equation of state associated with κ at the center of a compact star is inevitable, which is similar to the Hagedorn temperature in string theory.
