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Cohomology in algebra, geometry, physicsand statistics
Universal, almost universal and related spacetimes
Speaker’s name:
Vojtech Pravda
Speaker’s affiliation:
IM Czech Academy of Sciences
Place:
ZOOM metting
Date:
Wednesday, 27. May 2020 - 11:30 to 12:30
Abstract:
For universal spacetimes, all rank-2 tensors constructed from the metric,
Riemann tensors, and its covariant derivatives of arbitrary order are
proportional to the metric. Consequently, all vacuum field equations of
generalized theories of gravity following from Lagrangian constructed from
the Riemann tensors and its covariant derivatives of arbitrary order are
simultaneously satisfied. We will present necessary and sufficient
conditions for several classes of universal spacetimes of Lorentzian
signature, some explicit examples of such spacetimes, and discuss certain
useful generalizations of the universal property.
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Riemann tensors, and its covariant derivatives of arbitrary order are
proportional to the metric. Consequently, all vacuum field equations of
generalized theories of gravity following from Lagrangian constructed from
the Riemann tensors and its covariant derivatives of arbitrary order are
simultaneously satisfied. We will present necessary and sufficient
conditions for several classes of universal spacetimes of Lorentzian
signature, some explicit examples of such spacetimes, and discuss certain
useful generalizations of the universal property.
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Join Zoom Meeting
https://cesnet.zoom.us/j/99598413922?pwd=Ym4velNHckh2TlNxK2R2SzRpVXRhdz09
Meeting ID: 995 9841 3922
Password: 097923
The ZOOM room shall be open at 11 AM for coffee