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Poincar\'e gauge theories provide an approach to gravity based on the gauging of the Poincar\'e group, whose homogeneous part generates curvature while the translational sector gives rise to torsion. In this note we revisit the stability of…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Jose Beltrán Jiménez , Francisco José Maldonado Torralba

The generalized hybrid metric-Palatini gravity is a theory of gravitation that has an action composed of a Lagrangian $f(R,\cal R)$, where $f$ is a function of the metric Ricci scalar $R$ and a new Ricci scalar $\cal R$ formed from a…

General Relativity and Quantum Cosmology · Physics 2022-01-07 João Luís Rosa , José P. S. Lemos

This manuscript aims to establish the gravitational junction conditions(JCs) for the $f(\mathcal{G},~T)$ gravity. In this gravitational theory, $f$ is an arbitrary function of Gauss-Bonnet invariant $\mathcal{G}$ and the trace of the…

General Relativity and Quantum Cosmology · Physics 2022-07-14 M. Z. Bhatti , Z. Yousaf , M. Yousaf

Using the notion of distribution-valued tensor, we discuss the junction conditions within the framework of f(Q)-gravity. We obtain the necessary and sufficient conditions for two distinct solutions of the field equations to be smoothly…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Stefano Vignolo , Fabrizio Esposito , Sante Carloni

This thesis aims at improving our understanding of the strong-field regime of gravity, where deviations from General Relativity (GR) are expected to be found on theoretical grounds. In particular, we have been concerned with the formulation…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Adrián Casado-Turrión

In this work we present a general method to obtain the junction conditions of modified theories of gravity whose action can be written in the form $f\left(X_1,...,X_n\right)$, where $X_1$ to $X_n$ are any combination of scalar dependencies,…

General Relativity and Quantum Cosmology · Physics 2024-03-11 João Luís Rosa

The junction conditions for the most general gravitational theory with a Lagrangian containing terms quadratic in the curvature are derived. We include the cases with a possible concentration of matter on the joining hypersurface -termed as…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Borja Reina , José M. M. Senovilla , Raül Vera

In this paper, we study flat FLRW cosmology for a Poincar\'e gauge theory containing cubic invariants that is free from ghosts in arbitrary backgrounds in the axial and vector sectors of the torsion tensor. The new degrees of freedom can be…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Sebastian Bahamonde , Rebecca Briffa , Konstantinos Dialektopoulos , Damianos Iosifidis , Jackson Levi Said

Investigations of the dynamic modes of the Poincare gauge theory of gravity found only two good propagating torsion modes; they are effectively a scalar and a pseudoscalar. Cosmology affords a natural situation where one might see…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Kun-Feng Shie , James M. Nester , Hwei-Jang Yo

We investigate a class of gravity theories respecting only spatial covariance, termed spatially covariant gravity, in the presence of an auxiliary scalar field. We examine the conditions on the Lagrangian required to eliminate scalar…

General Relativity and Quantum Cosmology · Physics 2024-03-25 Zhi-Chao Wang , Xian Gao

The Poincar\'e gauge theory of gravity has a metric compatible connection with independent dynamics that is reflected in the torsion and curvature. The theory allows two good propagating spin-0 modes. Dynamical investigations using a simple…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Fei-Hung Ho , James M. Nester

We examine several higher spin modes of the Poincar\'e gauge theory (PGT) of gravity using the Hamiltonian analysis. The appearance of certain undesirable effects due to non-linear constraints in the Hamiltonian analysis are used as a test.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 H. J. Yo , J. M. Nester

The junction conditions for general theories of gravity based on actions that depend on arbitrary functions of the curvature scalar invariants (including differential invariants) are obtained using the distributional formalism. In case of…

General Relativity and Quantum Cosmology · Physics 2026-03-17 José M. M. Senovilla

We formulate the junction conditions for Scalar-Tensor-Vector Gravity (STVG/MOG), proposed by J.~W.~Moffat. Using these conditions, the theory of gravitational collapse is constructed. In the collapsing process, an interior…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Debanjan Debnath , Anant Badal , Kaushik Bhattacharya

The Poincar\'e gauge gravity (PGG) with the underlying vector fields of tetrads and spin-connections is perhaps the best theory candidate for gravitation to be unified with the other three elementary forces of nature. There is a clear…

General Relativity and Quantum Cosmology · Physics 2017-05-03 J. L. Chkareuli

In this work we derive the junction conditions for the matching between two spacetimes at a separation hypersurface in the perfect-fluid version of $f\left(R,T\right)$ gravity, not only in the usual geometrical representation but also in a…

General Relativity and Quantum Cosmology · Physics 2021-06-02 João Luís Rosa

We work out the junction conditions for the Palatini $f(\mathcal{R},T)$ extension of General Relativity, where $f$ is an arbitrary function of the curvature scalar $\mathcal{R}$ of an independent connection, and of the trace $T$ of the…

General Relativity and Quantum Cosmology · Physics 2022-09-07 João Luís Rosa , Diego Rubiera-Garcia

We work out the junction conditions for $f(R)$ gravity formulated in metric-affine (Palatini) spaces using a tensor distributional approach. These conditions are needed for building consistent models of gravitating bodies with an interior…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Gonzalo J. Olmo , Diego Rubiera-Garcia

The junction conditions for the infinite derivative gravity theory ${R{+}RF(\Box)R}$ are derived under the assumption that the conditions can be imposed by avoiding the `ill-defined expressions' in the theory of distributions term by term…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Ivan Kolář , Francisco José Maldonado Torralba , Anupam Mazumdar

This paper presents a comprehensive analysis of junction conditions for gluing different $f(R)$ gravitational theories across a non-null hypersurface. Using the variational approach, we systematically derive the junction conditions for both…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Amin Aalipour , Nima Khosravi
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