Dilatonic Equation of Hydrostatic Equilibrium and Neutron Star Structure

Abstract

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. In other words, by setting the parameters of new hydrostatic equilibrium equation, we calculate the maximum mass of neutron star.

10 pages with 4 figures, Numerical analysis added

References in corpus (24)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Extreme neutron stars from Extended Theories of Gravity
• Compact stars made of fermionic dark matter
• Collapsing spherical stars in f(R) gravity
• Anisotropic Compact Stars in $f(G)$ Gravity
• Structure of neutron stars in R-squared gravity
• Magnetic Neutron Stars in f(R) gravity
• Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity
• Gravitational effects of condensate dark matter on compact stellar objects
• Brane-world cosmology with black strings
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
• Taub-NUT Black Holes in Third order Lovelock Gravity
• Statefinder Diagnostic for Dilaton Dark Energy
• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity
• Magnetic Strings in Einstein-Born-Infeld-Dilaton Gravity
• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
• Newtonian View of General Relativistic Stars
• Dilaton Coupled Quintessence Model in the $\omega -{\omega }^{\prime }$ Plane
• A spherically symmetric and stationary universe from a weak modification of general relativity
• Spherically symmetric solutions and gravitational collapse in brane-worlds
• Exact EGB models for spherical static perfect fluids
• Hydrodynamic equilibrium of a static star in the presence of a cosmological constant in 2 + 1 dimensions

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• The realistic models of relativistic stars in f(R) = R + alpha R^2 gravity
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• Dilatonic BTZ black holes with power-law field
• Neutron stars structure in the context of massive gravity
• Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
• BTZ dilatonic black holes coupled to Maxwell and Born-Infeld electrodynamics
• Anisotropic magnetized neutron star
• Neutron stars in Einstein-$\Lambda$ gravity: the cosmological constant effects
• Phase Structure and QNMs of A Charged AdS Dilaton Black Hole
• Equation of State of Neutron Stars with Junction Conditions in the Starobinsky Model
• Properties of white dwarfs in Einstein-$\Lambda$ gravity
• Isotropic and anisotropic neutron star structure in 4D Einstein Gauss Bonnet Gravity
• Constraining Quadratic $f(R)$ Gravity from Astrophysical Observations of the Pulsar J0704+6620
• Local fragmentation of thin disks in Eddington-inspired gravity
• The structure of hybrid neutron star in Einstein-$\Lambda$ gravity
• Neutron Stars in Mimetic Gravity
• Dynamics of domain wall in charged AdS dilaton black hole spacetime
• The Jeans theorem and the "Tolman-Oppenheimer-Volkov equation" in an exact wave solution of R^2 gravity
• Testing gravity with the latent heat of neutron star matter
• Strange quark star in dilaton gravity
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity