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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Geodesics of Finsler Hayward black hole surrounded by quintessence by B. R. Yashwanth, S. K. Narasimhamurthy, Z. Nekouee, Manjunath Malligawad

“…This newly derived metric introduces significant deviations from regular black hole metrics found in general relativity due to the Finslerian term $$\gamma $$ γ presence, thus shedding fresh insights into the geometry and nature of black holes. …”
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Symmergent Gravity, Seesawic New Physics, and Their Experimental Signatures by Durmuş Demir

“…The standard model of elementary particles (SM) suffers from various problems, such as power-law ultraviolet (UV) sensitivity, exclusion of general relativity (GR), and absence of a dark matter candidate. …”
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A fundamental special-relativistic theory valid for all real-valued speeds by Vedprakash Sewjathan

“…The paper concludes with a discussion of the implications of this theory for general relativity.…”
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Shadow and strong gravitational lensing of new wormhole solutions supported by embedding Class-I condition by Niyaz Uddin Molla, Himanshu Chaudhary, Ujjal Debnath, G. Mustafa, S. K. Maurya

“…Abstract This study deals with the new class of embedded wormhole solutions in the background of general relativity. Two newly calculated wormhole solutions satisfy all the required properties. …”
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Stationary BTZ space-time in Ricci-inverse and $$f({\mathcal {R}})$$ f ( R ) gravity theories by Faizuddin Ahmed, Abdelmalek Bouzenada

“…We classify different types of geodesics, including null and time-like geodesics, under three conditions: (i) nonzero mass and angular momentum, $$M \ne 0, J\ne 0$$ M ≠ 0 , J ≠ 0 , (ii) massless BTZ space-time, $$M=0$$ M = 0 and $$J=0$$ J = 0 , and (iii) $$M=-1, J=0$$ M = - 1 , J = 0 , that is $$AdS_3$$ A d S 3 -type, and analyze the results in modified gravity theories and compare with the general relativity case.…”
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Energy-Momentum for a Charged Nonsingular Black Hole Solution with a Nonlinear Mass Function by Irina Radinschi, Theophanes Grammenos, Farook Rahaman, Andromahi Spanou, Sayeedul Islam, Surajit Chattopadhyay, Antonio Pasqua

“…The energy-momentum of a new four-dimensional, charged, spherically symmetric, and nonsingular black hole solution constructed in the context of general relativity coupled to a theory of nonlinear electrodynamics is investigated, whereby the nonlinear mass function is inspired by the probability density function of the continuous logistic distribution. …”
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Gravitational odd-parity perturbation of a Horndeski hairy black hole: quasinormal mode and parameter constraint by Zhen-Hao Yang, Yun-He Lei, Xiao-Mei Kuang, Bin Wang

“…Abstract During the binary black hole coalescence, gravitational waves emitted at the ringdown stage can be well described by black hole perturbation theory, where the quasinormal modes (QNMs) become the important ingredient in modeling the pattern waveform. In general relativity (GR), the QNMs can be obtained from solving the Regge–Wheeler (RW) equation of a non-rotating black hole. …”
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Polarization modes of gravitational waves in scalar-tensor-Rastall theory by Yu-Zhi Fan, Xiao-Bin Lai, Yu-Qi Dong, Yu-Xiao Liu

“…Particularly, over a broad range of the parameter space, regardless of some special values of the parameters, it allows only two tensor modes, just as in general relativity, without introducing any additional degrees of freedom. …”
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X-ray pulsed light curves of highly compact neutron stars as probes of scalar–tensor theories of gravity by Tulio Ottoni, Jaziel G. Coelho, Rafael C. R. de Lima, Jonas P. Pereira, Jorge A. Rueda

“…We explore the potential of NS X-ray pulsed light curve observations to probe deviations from general relativity (GR) within the scalar–tensor theory (STT) of gravity framework. …”
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Spontaneous Lorentz symmetry-breaking constraints in Kalb–Ramond gravity by Ednaldo L. B. Junior, José Tarciso S. S. Junior, Francisco S. N. Lobo, Manuel E. Rodrigues, Diego Rubiera-Garcia, Luís F. Dias da Silva, Henrique A. Vieira

“…The ratio of precession frequencies for General Relativity (GR) and KR gravity is computed, with Event Horizon Telescope (EHT) results providing a parameter range for the spontaneous symmetry-breaking of $$-0.185022 \le l \le 0.060938$$ - 0.185022 ≤ l ≤ 0.060938 . …”
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Recovering Pulsar Periodicity from Time-of-arrival Data by Finding the Shortest Vector in a Lattice by Dotan Gazith, Aaron B. Pearlman, Barak Zackay

“…The strict periodicity of pulsars is one of the primary ways through which their nature and environment can be studied, and it has also enabled precision tests of general relativity and studies of nanohertz gravitational waves using pulsar timing arrays (PTAs). …”
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Mapping the Λ_sCDM Scenario to <i>f</i>(<i>T</i>) Modified Gravity: Effects on Structure Growth Rate by Mateus S. Souza, Ana M. Barcelos, Rafael C. Nunes, Özgür Akarsu, Suresh Kumar

“…However, when considered within general relativity, this scenario does not predict any effects on the evolution of the matter density contrast beyond modifications to the background functions. …”
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Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks by Heng-you Lan

“…We introduce and study a new notion of relatively A-maximal m-relaxed monotonicity framework and discuss some properties of a new class of generalized relatively resolvent operator associated with the relatively A-maximal m-relaxed monotone operator and the new generalized Yosida approximations based on relatively A-maximal m-relaxed monotonicity framework. …”
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Access Control for Autborized Video in Information-Centric Networking by Zifei Zhou, Xiaobin Tan, Yukun Niu, CZou Cliff

“…PCB which was generally relatively large, was the same for all users, and CKB which was generally relatively small, was unique for each authorized users using digital watermarking technology. …”
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