9 papers
Exact black hole solutions with semi-symmetric vectorial torsion
Lehel Csillag, Tiberiu Harko
Semi-Symmetric metric gravity extends general relativity by introducing a semi-symmetric connection with vectorial torsion. The modified field equations contain extra contributions…
Geometric formulation of -essence and late-time acceleration
Lehel Csillag, Erik Jensko
We study a class of geometries in which nonmetricity is fully determined by a vectorial degree of freedom and three independent coefficients. Formulating the simplest linear action…
On the Finsler variational nature of autoparallels in metric-affine geometry
Lehel Csillag, Nicoleta Voicu, Salah Elgendi +1
In metric-affine geometry, autoparallels are generically non-variational, i.e., they are not the extremals of any action integral. The existence of a parametrization-invariant acti…
Herglotz-type gravity
Marek Wazny, Lehel Csillag, Miguel A. S. Pinto +1
The non-conservation of the energy-momentum tensor in gravity can be interpreted as an effective manifestation of dissipation. Motivated by this, we propose a new formulat…
From Barthel Randers Kropina Geometries to the Accelerating Universe: A Brief Review of Recent Advances in Finslerian Cosmology
Amine Bouali, Himanshu Chaudhary, Lehel Csillag +4
We review recent developments in cosmological models based on Finsler geometry and extensions of general relativity within this framework. Finsler geometry generalizes Riemannian g…
Length-preserving biconnection gravity and its cosmological implications
Lehel Csillag, Rattanasak Hama, Mate Jozsa +2
We consider a length-preserving biconnection gravitational theory, inspired by information geometry, which extends general relativity by using the mutual curvature as the fundament…