Report
Physical interpretation of Newman-Janis rotating systems. II. General systems
| العنوان: | Physical interpretation of Newman-Janis rotating systems. II. General systems |
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| المؤلفون: | Beltracchi, Philip, Gondolo, Paolo |
| سنة النشر: | 2021 |
| المجموعة: | General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology |
| الوصف: | Drake and Szekeres have extended the Newman-Janis algorithm to produce stationary axisymmetric spacetimes from general static spherically symmetric solutions of the Einstein equations. The algorithm mathematically generates an energy-momentum tensor for the rotating solution, but the rotating and nonrotating system may or may not represent the same physical system, in the sense of both being a perfect fluid, or an electromagnetic field, or a $\Lambda$-term, and so on. In Part I (arxiv:2104.02255), we compared the structure of the eigenvalues and eigenvectors of the rotating and nonrotating energy-momentum tensors (their Segre types) and looked for the existence of equations of state relating the rotating energy density and principal pressures for Kerr-Schild systems. Here we extend our analysis to general static spherically symmetric systems obtained according to the Drake-Szekeres generalization of the Newman-Janis algorithm. We find that these rotating systems can have almost all Segre types except [31] and [(31)]. Moreover, the Segre type of the spacetime can change severely in passing from the nonrotating to the rotating configurations, for example to $[11Z\bar{Z}]$ from seed systems which were initially [(111,1)]. We also find conditions dictating how many equations of state may exist in a Drake-Szekeres system. Comment: Replaced with updated version, published at Phys. Rev. D 104, 124067 (2021) |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.104.124067 |
| URL الوصول: | http://arxiv.org/abs/2108.02841 |
| رقم الانضمام: | edsarx.2108.02841 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.104.124067 |
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