Radial inverse metric components do not identify null surfaces

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Radial inverse metric components do not identify null surfaces

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Radial inverse metric components do not identify null surfaces

Popis výsledku anglicky

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

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

2470-0029

Svazek periodika

112

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

7

Strana od-do

044064

Kód UT WoS článku

001578773300015

EID výsledku v databázi Scopus

2-s2.0-105021118953