Unified post-Newtonian analysis reveals that Palatini scalar-tensor theories often face weaker Solar System bounds than metric versions due to stronger Yukawa suppression, with Palatini f(R) reproducing GR limits for point sources unlike metric f(R).
Lecture Notes on General Relativity
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These notes represent approximately one semester's worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications: gravitational radiation, black holes, and cosmology.
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Local invariance and covariant conservation laws are independent in field theories; the paper gives requirements for Noether's second theorem to produce the latter and shows the two are not equivalent.
A formulation of fluctuating hydrodynamics with spin is presented that achieves pseudo-gauge invariance and foliation covariance through torsion and second-order gravitational Ward identities.
The paper reviews standard derivations of light deflection in curved spacetime and presents a unified geometric approach for static and rotating gravitational fields.
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Covariant conservation laws, local invariance and Noether's second theorem
Local invariance and covariant conservation laws are independent in field theories; the paper gives requirements for Noether's second theorem to produce the latter and shows the two are not equivalent.