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General Relativity and Cosmology

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TLDR
The general theory of relativity is considered to be Albert Einstein's masterpiece in theoretical physics as mentioned in this paper, where scientists like Hendrik Lorentz and Henri Poincare worked in parallel, motivated by the unsolved physical problems existing at the beginning of the twentieth century, such as motion with respect to the aether and the negative result of the Michelson-Morley experiment.
Abstract
The general theory of relativity is considered to be Albert Einstein’s masterpiece in theoretical physics. In contrast with special relativity, where scientists like Hendrik Lorentz and Henri Poincare worked in parallel, motivated by the unsolved physical problems existing at the beginning of the twentieth century (for instance, motion with respect to the aether and the negative result of the Michelson–Morley experiment), there was no such motivation for general relativity. With the exception of an anomaly in the precession of Mercury’s orbit, the Newtonian theory of gravitation did not manifest symptoms of obsolescence.

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Emerging spatial curvature can resolve the tension between high-redshift CMB and low-redshift distance ladder measurements of the Hubble constant

TL;DR: In this article, the authors proposed a new solution to the Hubble constant problem based on the Simsilun simulation (relativistic simulation of the large scale structure of the Universe) with the ray tracing algorithm implemented.
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Blackness of the cosmic microwave background spectrum as a probe of the distance-duality relation

TL;DR: In this paper, the authors show that existing observational constraints imply that the reciprocity relation cannot be violated by more than 0.01% between decoupling and today, and compare this effect to other sources of violation of the distance-duality relations which induce spectral distortion of the cosmic microwave background spectrum.
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Tidal deformability and I-Love-Q relations for gravastars with polytropic thin shells

TL;DR: In this paper, the deformation properties of a large class of thin-shell gravastars are investigated, which are exotic compact objects that do not possess an event horizon nor a spacetime singularity.
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Non-Gaussian initial conditions in $\Lambda$CDM: Newtonian, relativistic and primordial contributions

TL;DR: In this paper, the authors used the nonlinear continuity and Raychauduri equations to set initial conditions for structure formation at non-linear order, consistent with general relativity, while also allowing for primordial non-Gaussianity.
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Fully non-linear and exact perturbations of the Friedmann world model

TL;DR: In this paper, the authors extend the linear formulation of cosmological perturbation to fully nonlinear order in perturbations, with the gauge advantage kept intact, and from these derived equations they can easily expand to higher order perturbings in a gauge-ready form.
References
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The classical theory of fields

TL;DR: The principle of relativity Relativistic mechanics Electromagnetic fields electromagnetic waves as discussed by the authors The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in a gravitational field The gravitational field equation