Towards a Noncommutative Astrophysics

Abstract

We consider astrophysical objects such as main-sequence stars, white-dwarfs and neutron stars in a noncommutative context. Noncommutativity is implemented via a deformed dispersion relation $E^2=p^2{c}^2(1+\lambda E{)}^2+m^2{c}^4$ from which we obtain noncommutative corrections to the pressure, particle number and energy densities for radiation and for a degenerate fermion gas. The main implications of noncommutativity for the considered astrophysical objects are examined and discussed.

Version to match the Physical Review D one

References in corpus (5)

• Weyl-Wigner Formulation of Noncommutative Quantum Mechanics
• Berry Phase in the Gravitational Quantum Well and the Seiberg-Witten map
• Black Holes and Phase Space Noncommutativity
• Quantum Fields with Noncommutative Target Spaces
• Noncommutative field gas driven inflation

Cited by in corpus (27)

• Aharonov-Bohm effect in a Class of Noncommutative Theories
• Thermodynamics of Photon Gas with an Invariant Energy Scale
• The singularity problem and phase-space noncanonical noncommutativity
• Probing spacetime noncommutative constant via charged astrophysical black hole lensing
• Thermodynamics of Ideal Gas in Doubly Special Relativity
• Effect of Generalized Uncertainty Principle on Main-Sequence Stars and White Dwarfs
• Singularities of Noncompact Charged Objects
• Effect of minimal length uncertainty on the mass-radius relation of white dwarfs
• Three-dimensional Lorentz-violating action
• Compact objects in unimodular gravity
• Non-commutative Quantum Mechanics in Three Dimensions and Rotational Symmetry
• Noncommutativity in (2+1)-dimensions and the Lorentz group
• Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator
• On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
• Non-Commutative Correction to Thin Shell Collapse in Reissner Nordstr$\ddot{o}$m Geometry
• Deformed classical-quantum mechanics transition
• Effect of Non-commutativity of space-time on Thermodynamics of Photon gas
• Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
• Loop Quantum Cosmology with a noncommutative quantum deformed photon gas
• Planck scale effect on the thermodynamics of photon gas
• Effects of modified dispersion relations on free Fermi gas: equations of state and applications in astrophysics
• Prospect of Chandrasekhar's limit against modified dispersion relation
• Noncommutative dispersion relation and mass-radius relation of white dwarfs
• Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
• A Phase-Space Noncommutative Picture of Nuclear Matter
• Quantum gravity phenomenology and the blackbody radiation
• Topics in Noncommutative Gauge Theories and Deformed Relativistic Theories