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Milnea€“Eddington Solutions for Relativistic Plane-Parallel Flows

机译:相对论平面平行流的Milnea€™Eddington解决方案

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Radiativetransferinarelativisticplane-parallelflow,e.g.,anaccretion-diskwind,hasbeenexaminedusingafullyspecial-relativistictreatment.Undertheassumptionofaconstantflowspeed,forarelativisticallymovingatmosphere,weanalyticallyobtainedgeneralizedMilnea€“Eddingtonsolutionsofradiativemomentequations:theradiationenergydensity,theradiativeflux,andtheradiationpressure.InthestaticlimitthesesolutionsreducetothetraditionalMilnea€“Eddingtononesforaplane-parallelstaticatmosphere,whereasthesourcefunctionnearlybecomesconstantastheflowspeedincreases.Usingtheanalyticalsolutions,weanalyticallyintegratedtherelativistictransferequationtoobtainthespecificintensity.ThisspecificintensityalsoreducestotheMilnea€“Eddingtoncaseinthestaticlimit,whiletheemergentintensityisstronglyenhancedtowardtheflowdirectionduetoDopplerandaberrationeffectsastheflowspeedincreases(relativisticpeaking).
机译:Radiativetransferinarelativisticplane-parallelflow,例如,anaccretion-diskwind,hasbeenexaminedusingafullyspecial-relativistictreatment.Undertheassumptionofaconstantflowspeed,forarelativisticallymovingatmosphere,weanalyticallyobtainedgeneralizedMilnea€“Eddingtonsolutionsofradiativemomentequations:theradiationenergydensity,theradiativeflux,andtheradiationpressure.InthestaticlimitthesesolutionsreducetothetraditionalMilnea€“Eddingtononesforaplane-parallelstaticatmosphere,whereasthesourcefunctionnearlybecomesconstantastheflowspeedincreases.Usingtheanalyticalsolutions,weanalyticallyintegratedtherelativistictransferequationtoobtainthespecificintensity.ThisspecificintensityalsoreducestotheMilnea€“Eddingtoncaseinthestaticlimit,whiletheemergentintensityisstronglyenhancedtowardtheflowdirectionduetoDopplerandaberrationeffectsastheflowspeedincreases(relativisticpeaking )。

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