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This work presents a novel methodology for deriving stationary and axially symmetric solutions to Einstein field equations using the 1+3 tetrad formalism. This approach reformulates the Einstein equations into first order scalar equations,…

General Relativity and Quantum Cosmology · Physics 2024-12-23 J. Ospino , J. L. Hernández-Pastora , A. V. Araujo-Salcedo , L. A. Núñez

The Petrov type D equation imposed on the 2-metric tensor and the rotation scalar of a cross-section of an isolated horizon can be used to uniquely distinguish the Kerr - (anti) de Sitter spacetime in the case the topology of the…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Denis Dobkowski-Ryłko , Wojciech Kamiński , Jerzy Lewandowski , Adam Szereszewski

In the mathematically rigorous analysis of semiclassical Einstein's equations, the renormalisation of the stress-energy tensor plays a crucial role. We address such a topic in the case of a scalar field with both arbitrary mass and coupling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Claudio Dappiaggi , Klaus Fredenhagen , Nicola Pinamonti

In the present work authors derive exact solutions for the relativistic compact stars in the presence of two fields axion (Dante's Inferno model) and with/without the complex scalar field (with the quartic self-interaction) coupled to…

General Relativity and Quantum Cosmology · Physics 2022-02-07 Oleksii Sokoliuk , Alexander Baransky , Praduymn Kumar Sahoo

In this article, we are devoted to discuss different compact stars admitting anisotropic interiors in a particular modified theory of gravity. For this purpose, a spherically symmetric metric is adopted to formulate the field equations…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Tayyab Naseer , M. Sharif

This paper's main aim is to investigate the existence of a new classification of embedded class-I solutions of compact stars, by using Karmarkar condition in $f(R)$ gravity background. To achieve that goal, we consider two different models…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Tayyaba Naz , Ammara Usman , M. Farasat Shamir

A tetrad field with spherical symmetry is applied to the charged field equations of $f(T)$ gravity theory. A special spherically-symmetric charged-dS solution is obtained. The scalar torsion of this solution is a vanishing quantity. The…

General Relativity and Quantum Cosmology · Physics 2013-12-03 Gamal G. L. Nashed

The aim of this paper is to reconstruct and analyze the stability of some cosmological models against linear perturbations in $f(\mathcal{G},T)$ gravity ($\mathcal{G}$ and $T$ represent the Gauss-Bonnet invariant and trace of the…

General Relativity and Quantum Cosmology · Physics 2017-06-22 M. Sharif , Ayesha Ikram

In this paper, we study the stellar structure in terms of alternative theory of gravity specially by f (R;T) gravity theory. Here, we consider the function f (R;T) = R+2VT where R is the Ricci scalar, T is the stress-energy momentum and V…

General Relativity and Quantum Cosmology · Physics 2021-06-24 J. Kumar , H. D. Singh , A. K. Prasad

In this paper, we generate an exact anisotropic gravastar model using gravitational decoupling technique through minimal geometric deformation in the framework of $f(\Re, {T}^{2})$ gravity. This novel model explains an ultra-compact stellar…

General Relativity and Quantum Cosmology · Physics 2023-04-17 M. Sharif , Saba Naz

Boson stars in zero-, one-, and two-node equilibrium states are modeled numerically within the framework of Scalar-Tensor Gravity. The complex scalar field is taken to be both massive and self-interacting. Configurations are formed in the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 G. L. Comer , Hisa-aki Shinkai

The late-time acceleration of the universe remains one of the most significant open problems in modern cosmology. Modified gravity frameworks such as $f(T)$ gravity provide a geometric alternative to dark energy by attributing cosmic…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Anirudh Pradhan , S. A. Salve , V. B. Raut , S. H. Shekh

General relativity can be formulated equivalently with a non-Riemannian geometry that associates with an affine connection of nonzero nonmetricity $Q$ but vanishing curvature $R$ and torsion $T$. Modification based on this description of…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Rui-Hui Lin , Xiang-Hua Zhai

In this paper, we develop a new class of models for a compact star with anisotropic stresses inside the matter distribution. By assuming a linear equation of state for the anisotropic matter composition of the star we solve the Einstein…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Shyam Das , Saibal Ray , Maxim Khlopov , K. K. Nandi , Bikram Keshari Parida

In this work we investigate analytic static and spherically symmetric solutions of a generalized theory of gravity in the Einstein-Cartan formalism. The main goal consists in analyzing the behavior of the solutions under the influence of a…

General Relativity and Quantum Cosmology · Physics 2018-08-15 F. A. Silveira , R. F. Sobreiro , A. A. Tomaz

We study the existence and structure of static and slowly rotating neutron stars (NSs) in a particular truncation of scalar torsion theory with a scalar field $ \phi $ non-minimally coupled to the torsion scalar, and a potential of the form…

General Relativity and Quantum Cosmology · Physics 2024-12-31 Youcef Kehal , Khireddine Nouicer , Hamza Boumaza

In this paper a new class of exact solutions of Einstein's field equations for compact stars with charged distributions is obtained on the basis of pseudo-spheroidal spacetime characterized by the metric potential…

General Physics · Physics 2015-11-16 V. O. Thomas , D. M. Pandya

In this study we obtain interior solutions and investigate structural properties of isotropic compact stars in the framework of four-dimensional regularized Einstein-Gauss-Bonnet (4DEGB) gravity. For stellar matter content, we adopt a…

General Relativity and Quantum Cosmology · Physics 2026-01-21 G. Panotopoulos , Á. Rincón , I. Lopes

Cartan $F(R)$ gravity introduces the equivalent scalar-tensor theory by extending the gravity sector. From the solution of the modified Cartan equation leads to the interaction with the scalar field and the fermion. We derived the effective…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Hiroki Sakamoto , Masahiko Taniguchi

We study $f(R)$ gravity models in the language of scalar-tensor theories. The correspondence between $f(R)$ gravity and scalar-tensor theories is revisited since $f(R)$ gravity is a subclass of Brans-Dicke models, with a vanishing coupling…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Joseph Ntahompagaze , Amare Abebe , Manasse Mbonye