1. New trends in HEP, Odessa, MAY 12-18, 2019
On particle-like models in vacuum space-times with torsion and nonmetricity tensors
Vyacheslav Olyeynik
Odessa I.I.Mechnikov National University

2. I. General Relativity Wednesday Evening Students' Session:
Maciej Trzebinski “The PhD Guide to the Experiments in HEP”
My talking:
On “The greatest questions in physics” – from geometric point of view
I. General Relativity
– Riemannian geometry
metric tensor
algebraic operations
differential operations
metricity conditions

3. Einstein equations GR action scalar curvature
Rainich conditions (1924) – for electrovacuum solutions in GR
George Yuri Rainich (Rabinovich)

4. “elementary particles without elementary particles”
Wheeler (1957)
– geons
Misner, Wheeler (1957)
“mass without mass”
John Archibalt Wheeler
“charge without charge”
“spin without spin”
“elementary particles without elementary particles”
Wheeler’s idea of reducing physics to geometry
particle-like (island) model
spherical symmetry
Schwarzschild metric (black hole)

5. something like scaffolding around a house under construction
Local basis
metric tensor
conjugate basis
scalar curvature
Vacuum Lagrangian

6. 4 dimensions
Local basis
Metric tensor
Antisymmetric II range tensor

7. II. Non-Riemannian geometries with metrics
Parallel transition:
nonmetricity tensors
– torsion tensors
Jan Arnoldus Schouten
connections:

8. From Maciej Trzebinski lecture:

9. Thank you for your attention