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Introducing Einstein's relativity
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In this paper, the authors discuss the role of tensionors in the normalism of tensors and general relation in special and general relations, including black holes and grazitational waves.Abstract:
PART A: SPECIAL RELATIVITY PART B: THE FORMALISM OF TENSORS PART C: GENERAL RELATIVITY PART D: BLACK HOLES PART E: GRAVITATIONAL WAVES PART F: COSMOLOGYread more
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Extended Theories of Gravity
TL;DR: Extended Theories of Gravity as discussed by the authors can be considered as a new paradigm to cure shortcomings of General Relativity at infrared and ultraviolet scales, which is an approach that, by preserving the undoubtedly positive results of Einstein's theory, is aimed to address conceptual and experimental problems recently emerged in astrophysics, cosmology and High Energy Physics.
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Jerk, snap, and the cosmological equation of state
TL;DR: In this article, the authors use the Friedmann equations to infer the scale factor of the cosmological equation of state at the current epoch from the observed scale factor at the previous epoch.
A Relativist's Toolkit
TL;DR: In this article, the authors provide practical tools for the computation of many physically interesting quantities in general relativity, including congruences of timelike and null geodesics, embedding of spacelike hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity.
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General covariance and the foundations of general relativity: eight decades of dispute
TL;DR: A review of the development of Einstein's thought on general covariance, its relation to the foundations of general relativity and the evolution of the continuing debate over his viewpoint can be found in this paper.
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Relativistic second-order perturbations of the Einstein-de Sitter Universe
TL;DR: In this paper, the evolution of relativistic perturbations in the Einstein-de Sitter cosmological model, including second-order effects, is considered in two different settings: the widely used synchronous gauge and the Poisson (generalized longitudinal) one.