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首页> 外文期刊>PASJ: Publications of the Astronomical Society of Japan >Variable Eddington Factor in a Relativistic Plane-Parallel Flow
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Variable Eddington Factor in a Relativistic Plane-Parallel Flow

机译：相对论平面平行流中的可变爱丁顿因子

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WeexaminetheEddingtonfactorinanopticallythick,relativisticflowacceleratingintheverticaldirection.Whenthegaseousflowisradiativelyacceleratedandthereisavelocitygradient,therealsoexistsadensitygradient.Thecomovingobserverseesradiationcomingfromaclosedsurfacewheretheopticaldepthmeasuredfromtheobserverisunity.Suchasurface,calledaone-tauphoto-oval,iselongatedintheflowdirection.Ingeneral,theradiationintensityemittedbythephoto-ovalisnon-uniform,andthephoto-ovalsurfacehasarelativevelocitywithrespecttothepositionofthecomovingobserver.Botheffectsintroducesomedegreeofanisotropyintheradiationfieldobservedinthecomovingframe.Asaresult,theradiationfieldobservedbythecomovingobserverbecomesanisotropic,andtheEddingtonfactormustdeviatefromtheusualvalueof1$$/$$3.Thus,therelativisticEddingtonfactorgenerallydependsontheopticaldepth$$ au$$andthevelocitygradient$$du/d au$$,$$u$$beingthefourvelocity.Inthecaseofaplane-parallelverticalflow,weobtainedtheshapeofthephoto-ovalandcalculatedtheEddingtonfactorintheopticallythickregime.WefoundthattheEddingtonfactor$$f$$canbewellapproximatedby$$f( au,frac{du}{d au})=frac{1}{3}exp(frac{1}{u}frac{du}{d au})$$.ThisrelativisticvariableEddingtonfactorcanbeusedinvariousrelativisticradiatively-drivenflows.
机译：WeexaminetheEddingtonfactorinanopticallythick，relativisticflowacceleratingintheverticaldirection.Whenthegaseousflowisradiativelyacceleratedandthereisavelocitygradient，therealsoexistsadensitygradient.Thecomovingobserverseesradiationcomingfromaclosedsurfacewheretheopticaldepthmeasuredfromtheobserverisunity.Suchasurface，calledaone-tauphoto椭圆形，iselongatedintheflowdirection.Ingeneral，theradiationintensityemittedbythephoto-ovalisnon均匀的，andthephoto-ovalsurfacehasarelativevelocitywithrespecttothepositionofthecomovingobserver.Botheffectsintroducesomedegreeofanisotropyintheradiationfieldobservedinthecomovingframe.Asaresult，theradiationfieldobservedbythecomovingobserverbecomesanisotropic，andtheEddingtonfactormustdeviatefromtheusualvalueof1 $$ / $$ 3.Thus，therelativisticEddingtonfactorgenerallydependsontheopticaldepth $$ au $$和速度梯度$$ du / d au $$，$ u $$是四个速度。在平面平行的垂直流动的情况下，获得了光卵形的形状，计算出了光学中的爱丁顿因子。我们发现，爱丁顿因素$$ f $$可以近似为$$ f（au，frac {du} {d au}）= frac {1} {3} exp（frac {1} {u} frac {du} {d au}） $$。此相对论变量爱丁顿因子可以使用各种相对论辐射驱动的流。

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