Radial inverse metric components do not identify null surfaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F25%3A00639916" target="_blank" >RIV/68378271:_____/25:00639916 - isvavai.cz</a>
Result on the web
<a href="https://hdl.handle.net/11104/0375705" target="_blank" >https://hdl.handle.net/11104/0375705</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/nh6m-p16b" target="_blank" >10.1103/nh6m-p16b</a>

Result language
angličtina
Original language name
Radial inverse metric components do not identify null surfaces
Original language description
We investigate the conditions under which a hypersurface becomes null through the use of coordinate transformations. We demonstrate that, in static spacetimes, the correct criterion for a surface to be null is gtt=0, rather than grr=0, in agreement with the results of Vollick. We further show that, if a Kruskal-like coordinate exists, the proxy condition grr=0 is equivalent to gtt=0 if ∂rgtt≠0 and both grr and gtt vanish at the same rate near the horizon. Our method extends naturally to axisymmetric stationary spacetimes, for which we demonstrate that the condition det(hab)=0 for the induced metric on a null hypersurface is recovered. By contrast with the induced metric approach, our method provides a physical perspective that connects the general null condition with its underlying relationship to photon geodesics.n
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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