The exact solutions in cosmological models based
Description: The exact solutions in cosmological models based on the Teleparallel Gravity Eugene Dentsel Bauman Moscow State Technical University Abstract Introduction Fundamental teleparallel gravity. Metric-affine gravity and tetrad formalism.
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slide1. The exact solutions in cosmological models based on the Teleparallel Gravity Eugene Dentsel
Bauman Moscow State Technical University<br>
slide2. Abstract Introduction
Fundamental teleparallel gravity. Metric-affine gravity and tetrad formalism.
Modified Teleparallel gravity models. Generalised scalar-torsion gravity: сosmological background, ansatz method and its application to models of inflation.
Conclusion.<br>
slide3. General Relativity Theory (GR) GR precisely describes dynamics in context of solar system and predicts:
Gravitational lensing;
Perihelion precession of Mercury;
Gravitational waves;
Black holes. Perihelion precession of Mercury Content of the universe (WMAP)<br>
slide4. Construction principles of GR modifications The “Relativity Principle”
The “Equivalence Principle”
The “Causality Principle”
The “Lorentz Covariance” Modification approaches: Adding «dark sector» to right-hand side of Einstein equations
Modifications of gravitational sector, i.e. left-hand side Metric-affine Gravity<br>
slide5. Characteristic tensors A pictorial view of the breaking of parallelograms induced by torsion Schematic geometrical representation of the curvature, torsion and non-metricity tensors
by their effect on the parallel transport of vectors<br>
slide6. Relation between different metric-affine geometries Classification of metric-affine geometries<br>
slide7. Relation between affine and spin connections The tetrad postulate Tetrad formalism Weitzenböck connection and the relation between the Levi Civitta connection<br>
slide8. Teleparallel Gravity (TEGR) The Einstein-Hilbert action The Teleparallel action<br>
slide9. Modified Teleparallel Gravity Theories Changing geometry (Non-Riemannian geometry) Adding invariants (Higher-order theories) Quantization (Quantum gravity theories) Adding new fields (Tensor-vector-scalar theories) Changing dimension (D-dimensional theories)<br>
slide10. FRW metric<br>
slide11. Generalized scalar-torsion gravity The general action In standard formulation of teleparallel gravity there is no Lorentz covariance<br>
slide12. Cosmological background The scalar power spectrum of curvature perturbation<br>
slide13. Slow-roll parameters Perturbation parameters<br>
slide14. Exact solutions<br>
slide15. equations of motion<br>
slide17. Conclusion<br>
Bauman Moscow State Technical University<br>
slide2. Abstract Introduction
Fundamental teleparallel gravity. Metric-affine gravity and tetrad formalism.
Modified Teleparallel gravity models. Generalised scalar-torsion gravity: сosmological background, ansatz method and its application to models of inflation.
Conclusion.<br>
slide3. General Relativity Theory (GR) GR precisely describes dynamics in context of solar system and predicts:
Gravitational lensing;
Perihelion precession of Mercury;
Gravitational waves;
Black holes. Perihelion precession of Mercury Content of the universe (WMAP)<br>
slide4. Construction principles of GR modifications The “Relativity Principle”
The “Equivalence Principle”
The “Causality Principle”
The “Lorentz Covariance” Modification approaches: Adding «dark sector» to right-hand side of Einstein equations
Modifications of gravitational sector, i.e. left-hand side Metric-affine Gravity<br>
slide5. Characteristic tensors A pictorial view of the breaking of parallelograms induced by torsion Schematic geometrical representation of the curvature, torsion and non-metricity tensors
by their effect on the parallel transport of vectors<br>
slide6. Relation between different metric-affine geometries Classification of metric-affine geometries<br>
slide7. Relation between affine and spin connections The tetrad postulate Tetrad formalism Weitzenböck connection and the relation between the Levi Civitta connection<br>
slide8. Teleparallel Gravity (TEGR) The Einstein-Hilbert action The Teleparallel action<br>
slide9. Modified Teleparallel Gravity Theories Changing geometry (Non-Riemannian geometry) Adding invariants (Higher-order theories) Quantization (Quantum gravity theories) Adding new fields (Tensor-vector-scalar theories) Changing dimension (D-dimensional theories)<br>
slide10. FRW metric<br>
slide11. Generalized scalar-torsion gravity The general action In standard formulation of teleparallel gravity there is no Lorentz covariance<br>
slide12. Cosmological background The scalar power spectrum of curvature perturbation<br>
slide13. Slow-roll parameters Perturbation parameters<br>
slide14. Exact solutions<br>
slide15. equations of motion<br>
slide17. Conclusion<br>