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19952026
most citedLens optics as an optical computer for group contractions

19 citations · 166 across the 26 of their papers we have counts for

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6 papers · 1 filter

gr-qc2022

Compatibility of the Dimensional Reduction and Variation Procedures for a Quadratic Curvature Model with a Kaluza-Klein Ansatz

Sibel Baskal, Sinan Celik

The introduction of extra dimensions is an invaluable strategy for the unification of gravity with other physical fields. Nevertheless, the matter in hand is to be eventually reduc…

gr-qc2010★ 12 cited

Kaluza-Klein Reduction of a Quadratic Curvature Model

S. Baskal, H. Kuyrukcu

Palatini variational principle is implemented on a five dimensional quadratic curvature gravity model, rendering two sets of equations which can be interpreted as the field equatio…

gr-qc2002★ 3 cited

Killing-Yano symmetry for a class of spacetimes admitting parallel null 1-planes

D. Baleanu, S. Baskal

A possible generalization of plane fronted waves with parallel rays (gpp-wave) fall into a more general class of metrics admitting parallel null 1-planes. For gpp-wave metric, the…

gr-qc2001★ 10 cited

Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes

D. Baleanu, S. Baskal

The presence of Killing-Yano tensors implies the existence of non-generic supercharges in spinning point particle theories on curved backgrounds. Dual metrics are defined through t…

gr-qc2001★ 7 cited

Geometrization of the Lax Pair Tensors

D. Baleanu, S. Baskal

The tensorial form of the Lax pair equations are given in a compact and geometrically transparent form in the presence of Cartan's torsion tensor. Three-dimensional spacetimes admi…

gr-qc2000★ 8 cited

Dual Metrics for a Class of Radiative Spacetimes

D. Baleanu, S. Baskal

Second rank non-degenerate Killing tensors for some subclasses of spacetimes admitting parallel null one-planes are investigated. Lichnérowicz radiation conditions are imposed to p…