Gravity EFT
Framework:
Vielbein (Tetrad) formalism to connect curved spacetime to flat spacetime.
R. Penrose, W. Rindler, Spinors and space-time. Vol. 1, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge, 1987.
A. Ashtekar, Lectures on non-perturbative canonical gravity, Advanced Series in Astrophysics and Cosmology, World Scientific, Singapore, 1991.
Comments on the Tetrad (Vielbeins). arxiv
Gravity EFT: low energy theory of quantum gravity
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Introduction to the effective field theory description of gravity, arxiv
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The effective field theory treatment of quantum gravity, arxiv
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Effective theory for quantum gravity, arxiv
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On the covariant formalism of the effective field theory of gravity and leading order corrections, arxiv
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EPFL Lectures on General Relativity as a Quantum Field Theory, arxiv
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Low Energy Theorems of Quantum Gravity from Effective Field Theory, arxiv
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Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory, arxiv
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GRLEFT, GRSMEFT, Effective Field Theory of Gravity to All Orders, arxiv
Gravity Calculation:
xact:
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Spinors: a Mathematica package for doing spinor calculus in General Relativity, arxiv
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The Invar Tensor Package, arxiv
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xPerm: fast index canonicalization for tensor computer algebra, arxiv
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The Invar tensor package: Differential invariants of Riemann, arxiv