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- W32388875 abstract "ABSTRACT Equilibrium configurations that are solutions of spherically symmetric hydrostaticequations of General Relativity for an ideal fluid obeying a polytropic (or adiabatic)equation of state are given in the framework of general relativity. The equilibriumconfigurationsaregivenintermsofthepolytropicindexnandthesocalledrelativisticparameterσ (forpolytropes)orα(foradiabates).First, simple models of polytropic and adiabatic spheres for nonre lativistic andultrarelativistic case of the equation of state are introduced. Then, the comparisonofpolytropicandadiabaticspheresisgiveninsomespecialcharacteristiccasesandthe influence of the relativistic parameter on the structure of the spheres and thegravitationalandbindingenergy. 1 INTRODUCTION We assume static spherically symmetric, equilibrium perfectfluid configurations obeyingthepolytropicandadiabaticequationofstate(EoS).Wearegoingtodiscussnonrelativistic(i.e., n = 1.5)andultrarelativistic(i.e., n = 3.0)caseofpolytropicandadiabaticspheres.I’ll show you differences in behaviour of quantities for different polytropic and adiabaticEoS (i.e., for different value of polytropic index n). We compare polytropic and adiabaticconfiguration in the case when central pressure and central density of both configurationsareequalandinthecasewhencentralpressuresandcentralrestdensitiesareequal." @default.
- W32388875 created "2016-06-24" @default.
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- W32388875 date "2005-12-01" @default.
- W32388875 modified "2023-09-27" @default.
- W32388875 title "Games with polytropes and adiabates" @default.
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