Astrotheology: The natural interface between hyperspace and the Trinity by A.C. Pieterse

“… Over the past few decades, physicists are seeking a unifying theory that could encapsulate the theories of general relativity and quantum mechanics, our understanding of the very big and the infinitesimal small, into one all-inclusive theory. …”
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F(R) Gravity’s Rainbow and Its Einstein Counterpart by S. H. Hendi, B. Eslam Panah, S. Panahiyan, M. Momennia

“…Motivated by UV completion of general relativity with a modification of a geometry at high energy scale, it is expected to have an energy dependent geometry. …”
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Haynes 242 Alloy for LARES 2 Satellite by D. Pilone, A. Brotzu, F. Felli, I. Ciufolini, B. Negri, C. Paris

“…The satellite LARES 2 is designed to test dragging of inertial frames, or frame-dragging, predicted by Einstein�s theory of General Relativity, with accuracy of a few parts in a thousand. …”
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About the theory of relativity by V. Y. Stetsenko

“…It is shown that the fifth coordinate is needed for the curvature of the four‑dimensional space of general relativity. Therefore, gravity cannot be interpreted from the position of the curvature of a four‑dimensional space in a four‑dimensional space. …”
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Balancing the Potential Gauging Process Applied to Wave Propagation for Arbitrary Space-Times by Thomas Reum

“…Special relativity including a practical waveguide example in RF engineering as well as general relativity are involved to cover an extensive class of uses valid for an arbitrary choice of space-time, which assures in addition broad applicability to further physical disciplines.…”
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The Chini integrability condition in second order Lovelock gravity by Mohammed O. E. Ismail, Sunil D. Maharaj, Byron P. Brassel

“…The Chini invariant does not arise in general relativity; it is a distinguishing feature of Einstein–Gauss–Bonnet gravity.…”
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Techniques for Finding Analytical Solution of Generalized Fuzzy Differential Equations with Applications by Mudassir Shams, Nasreen Kausar, Naveed Yaqoob, Nayyab Arif, Gezahagne Mulat Addis

“…Engineering and applied mathematics disciplines that involve differential equations include classical mechanics, thermodynamics, electrodynamics, and general relativity. Modelling a wide range of real-world situations sometimes comprises ambiguous, imprecise, or insufficient situational information, as well as multiindex, uncertainty, or restriction dynamics. …”
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The Tolman VII space-time in the presence of charge and a cosmological constant by James Ripple, Anish Agashe

“…Abstract The Tolman VII space-time is one of the few physically acceptable exact solutions in general relativity. In this paper, we derive a generalised Tolman VII solution which includes a charge and a cosmological constant. …”
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Prediction of mass and radii of anisotropic polytropic compact objects with Buchdahl-I metric by S. A. Mardan, A. Zahra, Muhammad Bilal Riaz, Rubab Manzoor, Adnan Malik

“…A generalized polytropic stellar model within the framework of general relativity is derived by employing the Buchdahl-I metric. …”
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Neutron stars in extended scalar-Gauss–Bonnet gravity: the richness of the solution spectrum by Kalin V. Staykov, Peter Y. Yordanov, Daniela D. Doneva, Stoytcho S. Yazadjiev

“…Among the most natural modifications of general relativity are the theories in which additional scalar degrees of freedom are present. …”
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From relativistic gravity to the Poisson equation by Eric A. Bergshoeff, Giacomo Giorgi, Luca Romano

“…Abstract We consider the non-relativistic limit of general relativity coupled to a (p+1)-form gauge field and a scalar field in arbitrary dimensions and investigate under which conditions this gives rise to a Poisson equation for a Newton potential describing Newton-Cartan gravity outside a massive p-dimensional extended object, a so-called p-brane. …”
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Special N-dimensional charged anti-de-Sitter black holes in f(Q) gravitational theory by G.G.L. Nashed

“…Furthermore, we demonstrate that the curvature singularities of these solutions are less severe than those in charged general relativity solutions. Finally, we calculate thermodynamic parameters, including entropy, Hawking temperature, and Gibbs free energy. …”
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Curing Black Hole Singularities with Local Scale Invariance by Predrag Dominis Prester

“…Singularities appear due to the ill behaviour of gauge fixing conditions, one example being the gauge in which theory is classically equivalent to standard General Relativity. The main conclusions of our analysis are as follows: (1) singularities signal a phase transition from broken to unbroken phase of Weyl symmetry; (2) instead of a singularity, there is a “baby universe” or a white hole inside a black hole; (3) in the baby universe scenario, there is a critical mass after which reducing mass makes the black hole larger as viewed by outside observers; (4) if a black hole could be connected with white hole through the “singularity,” this would require breakdown of (classical) geometric description; (5) the singularity of Schwarzschild BH solution is nongeneric and so it is dangerous to rely on it in deriving general results. …”
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Measurement events relative to temporal quantum reference frames by Ladina Hausmann, Alexander Schmidhuber, Esteban Castro-Ruiz

“…The Page-Wootters formalism is a proposal for reconciling the background-dependent, quantum-mechanical notion of time with the background independence of general relativity. However, the physical meaning of this framework remains debated. …”
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Ultrarelativistic Spinning Particle and a Rotating Body in External Fields by Alexei A. Deriglazov, Walberto Guzmán Ramírez

“…Hence, the nonminimally interacting theory seems a more promising candidate for description of a relativistic rotating body in general relativity. Vector model in an arbitrary electromagnetic field leads to generalized Frenkel and BMT equations. …”
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On stabilization of magnetically charged brane shell and over-extremality by Sohei Tsukahara

“…We demonstrate a new stabilization mechanism of the brane shell in 4D spacetime. We add a general relativity-inspired gravitational correction to the brane shells and investigate the influence on its potential. …”
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Notes on Conservation Laws, Equations of Motion of Matter, and Particle Fields in Lorentzian and Teleparallel de Sitter Space-Time Structures by Waldyr A. Rodrigues, Samuel A. Wainer

“…Thus, for example, MdSL is not supposed to be the model of any gravitational field in the General Relativity Theory (GRT). Misconceptions appearing in the literature concerning the motion of free particles in dSLM are clarified. …”
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Caravan-Submm, Black Hole Imager in the Andes by Makoto Miyoshi, Takashi Kasuga, Jose K. Ishitsuka Iba, Tomoharu Oka, Mamoru Sekido, Kazuhiro Takefuji, Masaaki Takahashi, Hiromi Saida, Rohta Takahashi

“…Imaging a black hole horizon as a shadow at the center of black hole accretion disk is another method to prove/check Einstein’s general relativity at strong gravitational fields. Such black hole imaging is expected to be achievable using a submillimeter wavelength VLBI (very long baseline interferometer) technique. …”
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Distinguishing black holes with and without spontaneous scalarization in Einstein-scalar-Gauss–Bonnet theories via optical features by Xi-Jing Wang, Yuan Meng, Xiao-Mei Kuang, Kai Liao

“…Abstract Spontaneous scalarization in Einstein-scalar-Gauss–Bonnet theory admits both vacuum-general relativity (GR) and scalarized hairy black holes as valid solutions, which provides a distinctive signature of new physics in strong gravity regime. …”
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Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics by Lorenzo Sebastiani, Sunny Vagnozzi, Ratbay Myrzakulov

“…Mimetic gravity is a Weyl-symmetric extension of General Relativity, related to the latter by a singular disformal transformation, wherein the appearance of a dust-like perfect fluid can mimic cold dark matter at a cosmological level. …”
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