Bose and Fermi gases in the early Universe with self-gravitational effect

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.063517· OSTI ID:21537510

Yuezhen, Niu; Junwu, Huang; Boqiang, Ma ^[1]

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1. School of Physics and State Keye Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871 (China)

We study the self-gravitational effect on the equation of state (EoS) of Bose and Fermi gases in thermal equilibrium at the end of reheating, the period after quark-hadron transition and before big bang nucleosynthesis (BBN). After introducing new grand canonical partition functions based on the work of Uhlenbeck and Gropper, we notice some interesting features of the newly developed EoSs with distinct behaviors of relativistic and nonrelativistic gases under self-gravity. The usual negligence of the self-gravitational effect when solving the background expansion of the early Universe is justified with numerical results, showing the magnitude of the self-gravitational modification of the state constant to be less than O(10{sup -78}). This helps us to clarify the background thermal evolution of the primordial patch. Such clarification is crucial in testing gravity theories, evaluating inflation models and determining element abundances in BBN.

• OSTI ID: 21537510
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevD.83.063517; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSE-EINSTEIN GAS
ELEMENT ABUNDANCE
EQUATIONS OF STATE
EXPANSION
FERMI GAS
GRAVITATION
MODIFICATIONS
NUCLEOSYNTHESIS
PARTITION FUNCTIONS
QUARK-HADRON INTERACTIONS
RELATIVISTIC RANGE
THERMAL EQUILIBRIUM
UNIVERSE
ABUNDANCE
ENERGY RANGE
EQUATIONS
EQUILIBRIUM
FUNCTIONS
INTERACTIONS
PARTICLE INTERACTIONS
SYNTHESIS