Isotropic stellar model in mimetic theory

Abstract

We investigate how to derive an isotropic stellar model in the framework of mimetic gravitational theory. Recently, this theory has gained big interest due to its difference from Einstein's general relativity (GR), especially in the domain non-vacuum solutions. In this regard, we apply the field equation of mimetic gravitational theory to a spherically symmetric ansatz and obtain an over determined system of non-linear differential equations in which differential equations are less than the unknown functions. To overcome the over determined system we suppose a specific form of the temporal component of the metric potential, $g_{tt}$, and assume the vanishing of the anisotropic condition to derive the form of the spatial component of the metric, $g_{rr}$. In this regard, we discuss the possibility to derive a stellar isotropic model that is in agreement with observed pulsars. To examine the stability of the isotropic model we use the Tolman-Oppenheimer-Volkoff equation and the adiabatic index. Furthermore, we assess the model's validity by evaluating its compatibility with a broad range of observed pulsar masses and radii. We demonstrate that the model provides a good fit to these observations.

13 pages, four figures and two tables

References in corpus (34)

• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• The Mass and Radius of the Neutron Star in 4U 1820-30
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Cosmology with Mimetic Matter
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Dynamical behavior in mimetic F(R) gravity
• Anisotropic Neutron Stars Modelling: Constraints in Krori-Barua Spacetime
• Extended mimetic gravity: Hamiltonian analysis and gradient instabilities
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
• Imperfect Dark Matter
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• Ghost-Free $F(R)$ Gravity with Lagrange Multiplier Constraint
• Higher Derivative Mimetic Gravity
• Energy and momentum of a spherically symmetric dilaton frame as regularized by teleparallel gravity
• Late time cosmological approach in mimetic $f(R,T)$ gravity
• Hamiltonian Formulation of Mimetic Gravity
• Modified Dust and the Small Scale Crisis in CDM
• Hamiltonian analysis of mimetic scalar gravity revisited
• Anisotropic compact stars in the mimetic gravitational theory
• Einstein's cluster mimicking compact star in the teleparallel equivalent of general relativity
• Black hole solutions in mimetic Born-Infeld gravity
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Gravitational focusing of Imperfect Dark Matter
• Higher order derivative coupling to gravity and its cosmological implications
• Cosmology in Mimetic SU(2) Gauge Theory
• Forms of action for perfect fluid in General Relativity and mimetic gravity
• Primordial Cosmology in Mimetic Born-Infeld Gravity
• Cosmology of a Lorentz violating Galileon theory
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Direct couplings of mimetic dark matter and their cosmological effects
• De Sitter and power-law solutions in some models of modified gravity