WEYL GEOMETRIES AND TIMELIKE GEODESICS
2012 ◽
Vol 09
(05)
◽
pp. 1220006
◽
Keyword(s):
In view of Ehlers–Pirani–Schild formalism, since 1972 Weyl geometries should be considered to be the most appropriate and complete framework to represent (relativistic) gravitational fields. We shall here show that in any given Lorentzian spacetime (M, g) that admits global timelike vector fields any such vector field u determines an essentially unique Weyl geometry ([g], Γ) such that u is Γ-geodesic (i.e. parallel with respect to Γ).
Keyword(s):
2019 ◽
Vol 16
(11)
◽
pp. 1950180
◽
1991 ◽
Vol 11
(3)
◽
pp. 443-454
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2011 ◽
Vol 13
(02)
◽
pp. 191-211
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Keyword(s):
1995 ◽
Vol 05
(03)
◽
pp. 895-899
◽
Keyword(s):
2021 ◽
Vol 62
◽
pp. 53-66
2015 ◽
Vol 12
(10)
◽
pp. 1550111
◽
Keyword(s):
2018 ◽
Vol 148
(4)
◽
pp. 773-818
Keyword(s):
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