Paper doi abstract bibtex

Among the coordinates used to construct a conformal compactification of the Schwarzschild spacetime, none of them simultaneously extend smoothly both through an event horizon and beyond null infinity.To construct such coordinates, instead of starting with the Kruskal-Szekeres coordinates we assume direct analytic transformation between Schwarzschild and compactified coordinates and determine their behavior on the event horizon and at null infinity. We then propose an example of such coordinates and illustrate the way they cover the conformally extended Schwarzschild spacetime as well as their suitability for numerical applications.

@article{Halacek2014Analytic, abstract = {Among the coordinates used to construct a conformal compactification of the Schwarzschild spacetime, none of them simultaneously extend smoothly both through an event horizon and beyond null {infinity.To} construct such coordinates, instead of starting with the {Kruskal-Szekeres} coordinates we assume direct analytic transformation between Schwarzschild and compactified coordinates and determine their behavior on the event horizon and at null infinity. We then propose an example of such coordinates and illustrate the way they cover the conformally extended Schwarzschild spacetime as well as their suitability for numerical applications.}, added-at = {2018-07-17T04:02:03.000+0200}, archiveprefix = {arXiv}, author = {Hal\'{a}\v{c}ek, Jakub and Ledvinka, Tom\'{a}\v{s}}, biburl = {https://www.bibsonomy.org/bibtex/24e8a839f153f3ea9a573d28c05da55ef/igorkhavkine}, citeulike-article-id = {14232083}, citeulike-attachment-1 = {halacek_14_analytic_1095624.pdf; /pdf/user/igorkhavkine/article/14232083/1095624/halacek_14_analytic_1095624.pdf; b4e21203b45bbdcbebefc0a1adc1f6d1b543d2d1}, citeulike-linkout-0 = {http://arxiv.org/abs/1401.1337}, citeulike-linkout-1 = {http://arxiv.org/pdf/1401.1337}, citeulike-linkout-2 = {http://dx.doi.org/10.1088/0264-9381/31/1/015007}, day = 7, doi = {10.1088/0264-9381/31/1/015007}, eprint = {1401.1337}, file = {halacek_14_analytic_1095624.pdf}, interhash = {e43f14b358fac2ba27600db55f478b87}, intrahash = {4e8a839f153f3ea9a573d28c05da55ef}, issn = {1361-6382}, journal = {Classical and Quantum Gravity}, keywords = {null-infinity asymptotically-flat black-hole asymptotically-simple conformal analytic-equivalence gr schwarzschild analytic}, month = jan, number = 1, pages = {015007+}, posted-at = {2016-12-22 15:06:52}, priority = {2}, timestamp = {2018-07-17T04:02:03.000+0200}, title = {The analytic conformal compactification of the {Schwarzschild} spacetime}, url = {http://dx.doi.org/10.1088/0264-9381/31/1/015007}, volume = 31, year = 2014 }

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