Syllabus[Subject to change]
Einstein Gravity & Beyond:
1) Newtonian spacetime & Matter
2) Einstein-Hilbert[E-H] Action
3) Euler Lagrange approach to E-H Action
4) Palatini Approach to E-H action
5) E-H Action in differential forms language
6) Modified Theories of Gravity
7) Linearised Gravity & Perturbation Theory
8) Cosmology
9) Torsional Teleparallelism
10) Non-Metricity Teleparallelism
Mathematical Foundations:
1) Manifolds
2) Tangent Spaces
3) Vector Bundles
4) Connections, Parallel Transport & Invariants
5) Metric Manifolds
6) Symmetry & Integration on Manifolds
7) Differential Forms
8) Lie Theory
9) Principal Bundle Theory
10) Applications to Physics
Invited Speakers:
TBA
Organised by V.Gakis, K.Pallikaris, A.Triantafyllopoulos,E.N.Saridakis & K.Anagnostopoulos
Inquiries/Suggestions/Corrections Contact: Vgakis@central.ntua.gr & konstantinos.pallikaris@gmail.com
