Using a way of separating the spectral shifts into infinitesimally displaced relative spectral bins and sum over them, we overcome the ambiguity of the parallel transport of four-velocity, in order to give an unique definition of the so-called kinetic relative velocity of luminous source as measured along the observer's line-of-sight in a generic pseudo-Riemannian space-time. The ubiquitous relationship between the spectral shift and the kinetic relative velocity is utterly distinct from a familiar global Doppler shift rule (Synge, 1960). Such a performance of having found a kinetic relative velocity of luminous source, without subjecting it to a parallel transport, manifests its virtue in particular case when adjacent observers are being in free fall and populated along the null geodesic, so that it is reduced to a global Doppler velocity as studied by Synge. We discuss the implications for the instructive case of spatially homogeneous and isotropic Robertson-Walker space-time, which leads to cosmological consequences that the resulting kinetic recession velocity of a galaxy is always subluminal even for large redshifts of order one or more, and thus, it does not violate the fundamental physical principle of causality.
oai:arar.sci.am:292917
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան
Aug 1, 2024
Dec 17, 2021
13
https://arar.sci.am/publication/320055
Հրատարակութեան անունը | Թուական |
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Ter-Kazarian, G., Unique definition of relative velocity of luminous source as measured along the observer's line-of-sight in a pseudo-Riemannian space-time | Aug 1, 2024 |
Ю. Л. Вартанян Գլխավոր խմբ․՝ Վ․ Հ․ Համբարձումյան (1965-1987) Լ․ Վ․ Միրզոյան (1988-1999) Դ․ Մ․ Սեդրակյան (2000-2017) Ա․ Գ․ Նիկողոսյան (2018-)
А. М. Соболев В. С. Стрельницкий Н. Н. Чугай Գլխավոր խմբ․՝ Վ․ Հ․ Համբարձումյան (1965-1987) Լ․ Վ․ Միրզոյան (1988-1999) Դ․ Մ․ Սեդրակյան (2000-2017) Ա․ Գ․ Նիկողոսյան (2018-)
Ter-Kazarian, G.
Ter-Kazarian, G.
Ter-Kazarian, G.
Ter-Kazarian, G.