Dilatonic Equation of Hydrostatic Equilibrium and Neutron Star Structure

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In this paper, we present a new hydrostatic equilibrium equation related to dilaton gravity.

• We consider a spherical symmetric metric to obtain the hydrostatic equilibrium equation of stars in $4$-dimensions, and generalize TOV equation to the case of regarding a dilaton field.
• Then, we calculate the structure properties of neutron star using our obtained hydrostatic equilibrium equation employing the modern equations of state of neutron star matter derived from microscopic calculations.
• We show that the maximum mass of neutron star depends on the parameters of dilaton field and cosmological constant.