Higher mass limits of neutron stars from the equation of states in curved spacetime

Hossain, Golam Mortuza; Mandal, Susobhan

doi:10.1103/physrevd.104.123005

Cited by 17 publications

(16 citation statements)

References 33 publications

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“…( 20). We note that the grand canonical EoS computed in previous works [21,22], which shows an explicit dependence on the gravitational potential Φ, is not compatible with the TOV equation and local thermodynamic relations.…”

Section: Introductioncontrasting

confidence: 67%

“…Recently, some works have reported that the dense matter EoS computed by using quantum field theory in curved spacetime would make a big difference [21,22]. They found that the gravitational time dilation effect leads to a significant increase of the maximum mass of neutron stars.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, theorists are good at computing the grand canonical EoS p = p(T, µ) by using finite temperature field theory in flat spacetime [18]. Some recent works have tried to compute the grand canonical EoS based on the statistic mechanics of quantum fields in curved spacetime [21,22]. Within their approach, the gravitational time dilation effect explicitly influences the grand canonical EoS, i.e., p(T, µ) is different at different position in the gravitational field.…”

Section: Introductionmentioning

confidence: 99%

“…In previous works [21,22], the gravitational effect is attributed to the gravitational potential Φ(r), i.e., the gravitational time dilation. Since Φ(r) is a single-valued function of r, it is equivalent to assume that the grand canonical EoS may depend explicitly on Φ, i.e.…”

Section: Introductionmentioning

confidence: 99%

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Do we need equation of state in curved spacetime for neutron stars?

Li,

Guo,

Zhao

et al. 2022

Preprint

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Neutron stars are regarded as natural laboratories for the study of dense strong interaction matter. The equation of state (EoS) of dense matter computed in flat spacetime is used to predict the structure of neutron stars by solving the Tolman-Oppenheimer-Volkoff (TOV) equation. Recently, it has been reported that the curved spacetime effect or specifically gravitational time dilation effect on the EoS of dense matter leads to a significant increase of the maximum mass limit of neutron stars [Phys. Rev. D 104, 123005 (2021) and JCAP 02, 026 (2021)]. However, in this work, we show that to study the hydrostatic equilibrium of dense matter within the framework of general relativity and relativistic fluid dynamics, the grand canonical EoS of dense matter, p(T, µ), should be the same as that computed in flat spacetime, otherwise it is not consistent with local thermodynamic relations and energy-momentum conservation of the fluid. The gravitation influences the pressure p only through enhancing the temperature T and the chemical potential µ, known as Tolman's law and Klein's law. We rewrite the TOV equation as an alternative version so that the grand canonical EoS computed by using field theoretical methods can be used as a direct input. This may provide a tool to study the grand canonical EoS of dense matter via deep learning.

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Section: Introductioncontrasting

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Do we need equation of state in curved spacetime for neutron stars?

Li,

Guo,

Zhao

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…An interesting fact that chemical reactions rates depend on gravity [63] also suggests that any modification to this interaction will also have an effect on the kinetic rate constants of chemical reactions. Apart from this, ignoring the relativistic effects introduced by GR causes underestimation of the limiting masses of compact stars -but computations of equations of state in curved spacetime provide that in the degenerated stars one deals with EoS which depend explicitly on the metric components [64,65], therefore one should expect similar changes in EoS derived from different assumptions on the gravitational interaction. It is mainly manifested by already mentioned enhanced chemical potentials and temperatures [66] which are a part of the equations' set describing a statistical system.…”

Section: Introductionmentioning

confidence: 99%