In the review part of the thesis we summarize various modified theories of gravity, especially those that are characterized by additional curvature invariants in the Lagrangian density. Further, we review non-twisting geometries, especially their Kundt subclass. Finally, from the principle of least action we derive field equations for the case with the Lagrangian density corresponding to an arbitrary function of the curvature invariants. In the original part of the thesis we explicitly express particular components of the field equations for non-gyratonic Kundt geometry in generic quadratic gravity in arbitrary dimension. Then we discuss how this, in general fourth order, field equations restrict the Kundt metric in selected geome- trically...
In the framework of proposed theory of spacetime deformation/distortion, we have a way to deform the...
Metric theories of gravity are studied, beginning with a general action that is quadratic in curvatu...
General relativity is a generally covariant, locally Lorentz covariant theory of two transverse, tra...
In the review part of the thesis we summarize various modified theories of gravity, especially those...
Within this work we have been interested in the frame approach to analysis of the field equations in...
The geometric arena here is a smooth manifold of dimension n equipped with a Riemannian or pseudo-Ri...
We investigate a general metric of the Kundt class of spacetimes in higher dimensions. Geometrically...
The main objective of this thesis is to investigate the possibility of creating Robinson-Trautman sp...
The aim of this paper is to find higher order geometrical corrections to the Einstein–Hilbert action...
We construct Kundt solutions of minimal massive gravity theory and show that, similar to topological...
In four dimensions complexified general relativity (GR) can be non-trivially deformed: there exists ...
Abstract: In this paper we show (using the Clifford bundle formalism) how a gravitational field gen...
We develop an axiomatic geometric approach and provide an unconventional review of modified/nonlinea...
The field equations of a generalized f (R) type gravity model, in which there is an arbitrary coupli...
In this work, we study geometrical and physical properties of exact spacetimes that belong to non-ex...
In the framework of proposed theory of spacetime deformation/distortion, we have a way to deform the...
Metric theories of gravity are studied, beginning with a general action that is quadratic in curvatu...
General relativity is a generally covariant, locally Lorentz covariant theory of two transverse, tra...
In the review part of the thesis we summarize various modified theories of gravity, especially those...
Within this work we have been interested in the frame approach to analysis of the field equations in...
The geometric arena here is a smooth manifold of dimension n equipped with a Riemannian or pseudo-Ri...
We investigate a general metric of the Kundt class of spacetimes in higher dimensions. Geometrically...
The main objective of this thesis is to investigate the possibility of creating Robinson-Trautman sp...
The aim of this paper is to find higher order geometrical corrections to the Einstein–Hilbert action...
We construct Kundt solutions of minimal massive gravity theory and show that, similar to topological...
In four dimensions complexified general relativity (GR) can be non-trivially deformed: there exists ...
Abstract: In this paper we show (using the Clifford bundle formalism) how a gravitational field gen...
We develop an axiomatic geometric approach and provide an unconventional review of modified/nonlinea...
The field equations of a generalized f (R) type gravity model, in which there is an arbitrary coupli...
In this work, we study geometrical and physical properties of exact spacetimes that belong to non-ex...
In the framework of proposed theory of spacetime deformation/distortion, we have a way to deform the...
Metric theories of gravity are studied, beginning with a general action that is quadratic in curvatu...
General relativity is a generally covariant, locally Lorentz covariant theory of two transverse, tra...