**Loop quantum gravity** is an attempt to develop a **quantum theory of gravity** based directly on Einstein´s geometrical formulation. I have made a list of books and articles needed to learn **Loop Quantum Gravity** . Actually i made this list by visiting forums, discussing people and searching at google and at last checking those. I hope this list will help you a lot to learn **Loop Quantum Gravity** .

### Loop Quantum Gravity Books :

1. ” Quantum Gravity “, by Carlo Rovelli . Download Errata

2. ” Modern Canonical Quantum General Relativity “, by Thomas Thiemann

### General Relativity Books :

1. ” General Relativity “, by Robert M. Wald (The Text book of General Relativity).

2. ” Advanced general relativity” ,by Stewart J ( Good introduction to spinor )

3. ” Spacetime and Geometry: An Introduction to General Relativity”, by Sean Carroll ( Recommended)

4. ” A First Course in General Relativity “, by Bernard F. Schutz (Recommended for beginners)

5.” General Relativity – An Introduction for Physicists ” by M. P. Hobson, G.P. Efstathiou

and A. N. Lasenby. ( Good for beginners and it has detail mathematical background )

### Mathematics Books :

1. ” Geometrical Methods of Mathematical Physics “, by B. Schutz ( Very easy and accessible, good for beginners but lack of exercises ).

2. ” Modern Differential Geometry for Physicists “, Chris Isham .

3. ” Geometry, Topology and Physics “,Mikio Nakahara ( Recommended ).

4. ” A Course in Modern Mathematical Physics : Groups, Hilbert Space and Differential Geometry “, Peter Szekeres .

5. ” Gauge fields, Knots and Gravity “, by J. Baez, J. Muniain ( Recommended )

### Quantum Mechanics and Field Theory Books :

1. ” Principles of Quantum Mechanics “, by R Shankar

2. ” Modern Quantum Mechanics “, by J. J. Sakurai

3. ” Quantum Field Theory ” by S. Ryder

4. ” Quantum Field Theory in curved Spacetime and Black Hole Thermodynamics ” by Robert M. Wald

5. “An Introduction To Quantum Field Theory” by Michael E. Peskin and Dan V. Schroeder

**Useful Phd Thesis :**

“Spin Foam Models of Quantum Spacetime ” , by Daniele Oriti (phd thesis ,337 pages)

### Articles :

1. ” Loop Quantum Gravity“, by Carlo Rovelli ( Best ever public article on LQG )

2. ” Loop Quantum Gravity“, by Carlo Rovelli ( Read online or download from Living reviews)

3. ” Loop and spin foam quantum gravity: a brief guide for beginners“, by Hermann Nicolai, Kasper Peeters

4. ” An invitation to LQG ” , by Lee Smolin

5. ” How far are we from the quantum theory of gravity?” , by Lee Smolin

6. ” Loop Quantum Gravity: An Inside View “, by Thomas Thiemann

7. ” Loop quantum gravity: an outside view “, by Hermann Nicolai

8. ” Loop Quantum Geometry: A primer “ , by Alejandro Corichi

9. ” Introduction to LQG and Spin Foams ” by Alejandro Perez

10. ” Lectures on Loop Quantum Gravity ” byThomas Thiemann

11. ” Introduction to Modern Canonical Quantum GR ” by Thomas Thiemann

12. ” Canonical quantization of general relativity: the last 18 years in a nutshell “, by Jorge Pullin

13. ” Background Independent Quantum Gravity: A Status Report ” , by Abhay Ashtekar, Jerzy Lewandowski

14. “Four Recent Advances and a Dozen Frequently Asked Questions “, by Abhay Ashtekar, Jerzy Lewandowski

15. ” Quantum Gravity by the Complex Canonical Formulation” by Hideo Kodama

16. ” Actions for Gravity, with Generalizations: A Review ” by Peter Peldan

17. ” LQG and the meaning of Diffeomorphism Invariance ” by Carlo Rovelli, Marcus Gaul

18. ” A Spin Network Primer“, by Seth A. Major [suitable for students of advanced quantum mechanics (undergraduate)]

19. ” Geometrical Quantum Mechanics “, by Robert Geroch

20. ” Path integral representation of spin foam models of 4d gravity ” , by Florian Conrady, Laurent Freidel (2008)

21. ” On gravitational defects, particles and strings ” by Winston J. Fairbairn ( 2008 )

22. ” Action and Hamiltonians in higher dimensional general relativity: First order framework “, by Abhay Ashtekar, David Sloan (2008)

23. ” Loop Quantum Gravity “, by Carlo Rovelli ( Introductory talk at String 2008 about Loop and Spinfoam QG for non-specialists )

24. ” Quantum Geometry and Black Hole Entropy “, by A. Ashtekar, J. Baez, A. Corichi, K. Krasnov (1997)

25. “Quantum Geometry of Isolated Horizons and Black Hole Entropy“, by A. Ashtekar, J. Baez, K. Krasnov (2000)

### Loop Quantum Cosmology :

1. ” Loop Quantum Cosmology “, by Martin Bojowald

2. ” Is loop quantization in cosmology unique? “, by Alejandro Corichi, Parampreet Singh ( 2008 )

3. ” An Introduction to Loop Quantum Gravity Through Cosmology “, by Abhay Ashtekar

4.” Mathematical structure of loop quantum cosmology “, by Abhay Ashtekar, Martin Bojowald, Jerzy Lewandowski

5.” Loop Quantum Cosmology, Boundary Proposals, and Inflation “, by Martin Bojowald, Kevin Vandersloot

6.” Generating function techniques for loop quantum cosmology “, by Daniel Cartin, Gaurav Khanna, Martin Bojowald

7.” On Singularity Resolution in Quantum Gravity “, by V. Husain, O. Winkler.

8.” Big Crunch Avoidance in k = 1 Semi-Classical Loop Quantum Cosmology ” by Parampreet Singh, Alexey Toporensky

9.” Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field “, by Victor Taveras ( 2008 )

10.” Quantum gravity with a positive cosmological constant “, by Lee Smolin

11.” Quantum bounce and cosmic recall “, by Alejandro Corichi, Parampreet Singh

**Papers** :

Loop Quantum Cosmology papers at Spires (after 2006)

Loop Quantum Cosmology papers at arxiv

### Online Tutorials/Lectures :

Loop Quantum Gravity ( Speaker : Carlo Rovelli @ Srting 2008, cern | Formats : video , pdf slide )

Perimeter Institute Recorded Seminar Archive ( PIRSA )

– Introduction to Quantum Gravity ( Speaker : Lee Smolin | **1-25 parts** | Formats : video,flash, mp3,pdf )

– Loop Quantum Gravity ( Speaker : Simone Speziale | **1-4 parts** | Formats : video, flash, mp3, pdf )

– Gravitational collapse in quantum gravity ( Speaker : Viqar Husain | Formats : video,flash, mp3,pdf )

– Quantum gravity and the Coulomb potential ( Speaker : Viqar Husain | Formats : video,flash, mp3,pdf )

– Black Hole Geometrodynamics Revisited ( Speaker : Viqar Husain | Formats : video,flash, mp3,pdf )

John Baez ( huge amount of stuff ! )

### Other Resources :

Living Reviews in General Relativity

Physics forums – Beyond Standard Model

### LQG Seminer :

LSU – organized by Jorge Pullin

For any suggestion or adding new papers, article or tutorial mail me : 2mushfiq ‘at’ gmail.com