Rotating and Counterrotating Relativistic thin Disks as Sources of Stationary Electrovacuum Spacetimes
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedade Brasileira de Física
2007
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| _version_ | 1876457395771670528 |
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| author | Gonzalo García-Reyes |
| author_facet | Gonzalo García-Reyes |
| contents | Rotating and Counterrotating Relativistic thin Disks as Sources of Stationary Electrovacuum Spacetimes Gonzalo García-Reyes Guillermo A. González Física, Astronomía y Matemáticas Einstein Thin disks Exact solutions Maxwell equations General relativity A detailed study is presented of the counterrotating model (CRM) for electrovacuum stationary axially symmetricrelativistic thin disks of infinite extension without radial stress, in the case when the eigenvalues of theenergy-momentum tensor of the disk are real quantities, so that there is not heat flow. We find a general constraintover the counterrotating tangential velocities needed to cast the surface energy-momentum tensor of thedisk as the superposition of two counterrotating charged dust fluids. We then show that, in some cases, thisconstraint can be satisfied if we take the two counterrotating tangential velocities as equal and opposite or bytaking the two counterrotating streams as circulating along electro-geodesics. However, we show that, in general,it is not possible to take the two counterrotating fluids as circulating along electro-geodesics nor take thetwo counterrotating tangential velocities as equal and opposite. A simple family of models of counterrotatingcharged disks based on the Kerr-Newman solution are considered where we obtain some disks with a CRM wellbehaved. We also show that the disks constructed from the Kerr-Newman solution can be interpreted, for allthe values of parameters, as a matter distribution with currents and purely azimuthal pressure without heat flow.The models are constructed using the well-known displace, cut and reflect method extended to solutions ofvacuum Einstein-Maxwell equations. We obtain, in all the cases, counterrotating Kerr-Newman disks that arein agreement with all the energy conditions. 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437704 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3B Vol.37 |
| format | Artículo científico |
| id | redalyc_46437704 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Rotating and Counterrotating Relativistic thin Disks as Sources of Stationary Electrovacuum Spacetimes Gonzalo García-Reyes Física, Astronomía y Matemáticas Einstein Thin disks Exact solutions Maxwell equations General relativity Rotating and Counterrotating Relativistic thin Disks as Sources of Stationary Electrovacuum Spacetimes Gonzalo García-Reyes Guillermo A. González Física, Astronomía y Matemáticas Einstein Thin disks Exact solutions Maxwell equations General relativity A detailed study is presented of the counterrotating model (CRM) for electrovacuum stationary axially symmetricrelativistic thin disks of infinite extension without radial stress, in the case when the eigenvalues of theenergy-momentum tensor of the disk are real quantities, so that there is not heat flow. We find a general constraintover the counterrotating tangential velocities needed to cast the surface energy-momentum tensor of thedisk as the superposition of two counterrotating charged dust fluids. We then show that, in some cases, thisconstraint can be satisfied if we take the two counterrotating tangential velocities as equal and opposite or bytaking the two counterrotating streams as circulating along electro-geodesics. However, we show that, in general,it is not possible to take the two counterrotating fluids as circulating along electro-geodesics nor take thetwo counterrotating tangential velocities as equal and opposite. A simple family of models of counterrotatingcharged disks based on the Kerr-Newman solution are considered where we obtain some disks with a CRM wellbehaved. We also show that the disks constructed from the Kerr-Newman solution can be interpreted, for allthe values of parameters, as a matter distribution with currents and purely azimuthal pressure without heat flow.The models are constructed using the well-known displace, cut and reflect method extended to solutions ofvacuum Einstein-Maxwell equations. We obtain, in all the cases, counterrotating Kerr-Newman disks that arein agreement with all the energy conditions. 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437704 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3B Vol.37 |
| title | Rotating and Counterrotating Relativistic thin Disks as Sources of Stationary Electrovacuum Spacetimes |
| topic | Física, Astronomía y Matemáticas Einstein Thin disks Exact solutions Maxwell equations General relativity |
| url | https://www.redalyc.org/articulo.oa?id=46437704 |