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Complete calculations of the perihelion precession of Mercury and the deflection of light by the Sun in General Relativity
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Taking up a method devised by Taylor and Wheeler and collecting pieces of their work we offer a self-contained derivation of the formulae giving both the precession of the orbit of a planet around the Sun and the deflection angle of a light pulse passing near the Sun in the framework of General Relativity. The demonstration uses only elementary algebra without resorting to tensor formalism. No prior knowledge in relativity is needed to follow the presentation.
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On the perturbed Friedmann equations in Newtonian Gauge
The authors derive the Friedmann equations and their first-order perturbations from Newtonian mechanics and thermodynamics, and show the perturbed equations coincide with general relativity at linear order.
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