Charged anisotropic spherical collapse with heat flow by Kali Charan, Om Prakash Yadav, B. C. Tewari

“…Abstract In this article, we study the shear-free gravitational collapse of a charged radiating star. The Einstein field equations of gravitational collapse for the charged stars are known to give rise to a high degree of non-linearity in the ordinary differential equation coming from junction conditions. …”
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Classification of exact Bianchi type V cosmological solutions via conformal vector fields admitting energy conditions in f(T) gravity by Sabiha Qazi, Kottakkaran Sooppy Nisar, Fiaz Hussain, Arshad Ali, Taseer Muhammad, Muhammad Ramzan, Sirajul Haq

“…For this study, we first derive the Einstein field equations (EFEs) by considering the Bianchi type V space–times in f(T) gravity. …”
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Propagation of light in the presence of gravity generated by static and spherically symmetric curved space-times using Maxwell equations by Enderson Falcón-Gómez, Adrián Amor-Martín, Valentín De La Rubia, Gabriel Santamaría-Botello, Vittorio De Falco, Luis Enrique García Muñoz

“…In other words, we pass from curved to flat space-times, where instead of the Einstein field equations, the Maxwell equations are solved. …”
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Self-bound embedding Class I anisotropic stars by gravitational decoupling within vanishing complexity factor formalism by Moza Al Habsi, S. K. Maurya, Sara Al Badri, Maryam Al-Alawiya, Tasnim Al Mukhaini, Hajer Al Malki, G. Mustafa

“…In this regard, we use the Finch–Skea model along with the mimicking of mass constraint to find fluid pressure and the matter-energy density from the Einstein Field Equations (EFE). We tested the physical viability and impact of gravitational decoupling on the anisotropic solution through the graphical representation. …”
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Studies an analytic model of a spherically symmetric compact object in Einsteinian gravity by Abdelghani Errehymy, Mohammed Daoud

“…We have imposed a collective function based on an adjustable coefficient to solve the Einstein field equations (EFEs). We investigate the general physical characteristics of high-density astrophysical objects based on the required solutions, with the inside structure of the stellar objects, such as the energy conditions, stability analysis, mass function, surface redshift function, velocity of sound and compactness of stellar objects through theoretical expression as well as graphic plots. …”
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ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRIC by FRANCISCO FRUTOS ALFARO, MICHAEL SOFFEL

“…Solving the Einstein field equations, we added terms of second order in the quadrupole moment to its post-linear version in order to compare it with solutions found by Blanchet in the multi-polar post-Minkowskian framework. …”
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Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon by Claudio Cremaschini, Massimo Tessarotto

“…As a result, the corresponding form of stochastic quantum-modified Einstein field equations is obtained and shown to admit a stochastic cosmological de Sitter solution for the space-time metric tensor. …”
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Quantum Mixmaster as a Model of the Primordial Universe by Hervé Bergeron, Ewa Czuchry, Jean Pierre Gazeau, Przemysław Małkiewicz

“…The Mixmaster solution to Einstein field equations was examined by C. Misner in an effort to better understand the dynamics of the early universe. …”
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Slowly rotating dust sphere for free space in general relativity with uniform matter distribution by K.M.E.M. Karunawardana, M.P.A. Wijayasiri

“…Einstein field equations for a charged dusty universe have already investigated. …”
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Probing the existence of the ZTF Casimir wormholes in the framework of f(R) gravity by Oleksii Sokoliuk, Alexander Baransky, P.K. Sahoo

“…By using the Casimir energy density and modified Einstein Field Equations (EFE's) we derived suitable shape functions for each modified gravity of our consideration. …”
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Theories of dark energy by Ang, Moncayo Alan

“…Both arise from modifications to both sides of Einstein's field equations. In this report, the first part will cover the observational proof for dark energy. …”
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Dark matter and dark energy from a Kaluza–Klein inspired Brans–Dicke gravity with barotropic fluid by Areef Waeming, Tanech Klangburam, Chakrit Pongkitivanichkul, Daris Samart

“…After derivation, equations of motion and Einstein field equations form a set of autonomous system. The dynamical system is analysed to obtain various critical points. …”
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Barrow Holographic Dark Energy Model in Bianchi Type-III Universe with Quintessence by Chandra Rekha Mahanta, Dibyajyoti Das

“…We assume the cold dark matter and Barrow holographic dark energy to be non-interacting and obtain exact solutions of the Einstein field equations by considering a hybrid expansion law and assuming that the expansion scalar is proportional to the shear scalar. …”
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Complexity factor for anisotropic source in non-minimal coupling metric f(R) gravity by G. Abbas, H. Nazar

“…In present consideration, we express the Einstein field equations, hydrostatic equilibrium equation, the mass function and physical behavior of f(R) model by using some observational data of well known compact stars like $$4U~1820-30, SAX~J1808.4-3658$$ 4U1820-30,SAXJ1808.4-3658 and $$Her~X-1$$ HerX-1 . …”
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On the number of light rings in curved spacetimes of ultra-compact objects by Shahar Hod

“…In a very interesting paper, Cunha, Berti, and Herdeiro have recently claimed that ultra-compact objects, self-gravitating horizonless solutions of the Einstein field equations which have a light ring, must possess at least two (and, in general, an even number of) light rings, of which the inner one is stable. …”
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Black hole thermodynamics from logotropic fluids by Salvatore Capozziello, Rocco D’Agostino, Alessio Lapponi, Orlando Luongo

“…Abstract We show that the Einstein field equations with a negative cosmological constant can admit black hole solutions whose thermodynamics coincides with that of logotropic fluids, recently investigated to heal some cosmological and astrophysical issues. …”
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A Generalized Solution of Bianchi Type-V Models with Time-Dependent G and Λ by Alnadhief H. A. Alfedeel, Amare Abebe, Hussam M. Gubara

“…Exact solutions of the Einstein field equations (EFEs) are presented in terms of adjustable parameters of quantum field theory in a spatially curved and expanding background. …”
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On the initial singularity and extendibility of flat quasi-de Sitter spacetimes by Ghazal Geshnizjani, Eric Ling, Jerome Quintin

“…Finally, we show that beyond homogeneity and isotropy, special continuous extensions respecting the Einstein field equations with a perfect fluid must have the equation of state of a de Sitter universe asymptotically. …”
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Coupling of quantum gravitational field with Riemann and Ricci curvature tensors by Claudio Cremaschini, Massimo Tessarotto

“…It is shown that, for the classical variational theory, manifestly-covariant Hamiltonian functions expressed by either the Ricci or Riemann tensors are both admitted, which yield the correct form of Einstein field equations. On the other hand, the corresponding realization of manifestly-covariant quantum gravity theories is not equivalent. …”
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Geometric properties of the Bertotti–Kasner space-time by H.M. Manjunatha, S.K. Narasimhamurthy, Zohreh Nekouee

“…The results deliver new insight into the geometry of the nonstatic cylindrical vacuum solution of Einstein's field equations.…”
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