Thermodynamics of Horndeski Black Holes with Generalized Uncertainty Principle by Mohaddeseh Seifi, Akram S. Sefiedgar

“…Horndeski theory is the most general scalar-tensor extension of General Relativity with second order field equations. It may be interesting to study the effects of the Generalized Uncertainty Principle on a static and asymptotically flat shift symmetric solutions of the Horndeski black holes. …”
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Aspects of a novel nonlinear electrodynamics in flat spacetime and in a gravity-coupled scenario by Anjan Kar

“…Moreover, a minimal coupling of Einstein’s General Relativity (GR) with this NLE results in solutions of regular black holes or naked singularities, depending on whether the source is a nonlinear magnetic monopole or an electric charge, respectively.…”
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Strolling along gravitational vacua by Emine Şeyma Kutluk, Ali Seraj, Dieter Van den Bleeken

“…Abstract We consider General Relativity (GR) on a space-time whose spatial slices are compact manifolds M with non-empty boundary ∂M. …”
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Generalized Phenomenological Models of Dark Energy by Prasenjit Paul, Rikpratik Sengupta

“…We shall consider two phenomenological models based on the former, more conventional approach within the context of general relativity. The phenomenological models in this paper consider a Λ term firstly a function of a¨/a and secondly a function of ρ, where a and ρ are the scale factor and matter energy density, respectively. …”
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Horizon causality from holographic scattering in asymptotically dS3 by Victor Franken, Takato Mori

“…This statement is formalized by the connected wedge theorem, which can be proven using general relativity within AdS3 but also argued for using quantum information theory on the boundary, suggesting that the theorem applies to any holographic duality. …”
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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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Holographic boundary conformal field theory within Horndeski gravity by Fabiano F. Santos, Behnam Pourhassan, Emmanuel N. Saridakis, Oleksii Sokoliuk, Alexander Baransky, Emre Onur Kahya

“…In particular, treating the holographic boundary conformal field theory analytically we find that the Horndeski parameters significantly alter the behavior of the Page curve compared to standard general relativity, a feature caused by the nontrivial geometry induced by the Horndeski scalar field. …”
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