### Course

19R1 D. Anselmi
Theories of gravitation

Program

PDF

### Book

D. Anselmi
From Physics To Life

A journey to the infinitesimally small and back

Buy hard copy or ebook on amazon:
US: hard copy | ebook
IT: hard copy | ebook
DE: hard copy | ebook
FR: hard copy | ebook
ES: hard copy | ebook
UK: hard copy | ebook
JP: hard copy | ebook

## FLRW metrics

Talk given at the conference “Cosmological Frontiers in Fundamental Physics 2019” – Perimeter Institute

PDF

The classical action of quantum gravity, determined by renormalization, contains infinitely many independent couplings and can be expressed in different perturbatively equivalent ways. We organize it in a convenient form, which is based on invariants constructed with the Weyl tensor. We show that the FLRW metrics are exact solutions of the field equations in arbitrary dimensions, and so are all locally conformally flat solutions of the Einstein equations. Moreover, expanding the metric tensor around locally conformally flat backgrounds the quadratic part of the action is free of higher derivatives. Black-hole solutions of Schwarzschild and Kerr type are modified in a non-trivial way. We work out the first corrections to their metrics and study their properties.

PDF

JHEP 1305 (2013) 028 | DOI: 10.1007/JHEP05(2013)028

arXiv:1302.7100 [gr-qc]

### Book

14B1 D. Anselmi
Renormalization

Course on renormalization, taught in Pisa in 2015. (More chapters will be added later.)

Last update: May 9th 2015, 230 pages

Contents:
Preface
1. Functional integral
2. Renormalization
3. Renormalization group
4. Gauge symmetry
5. Canonical formalism
6. Quantum electrodynamics
7. Non-Abelian gauge field theories
Notation and useful formulas
References