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The Ricci decomposition of the inertia tensor for a rigid body in arbitrary spatial dimensions
The rotations of rigid bodies in Euclidean space are characterized by their instantaneous angular velocity and angular momentum. In an arbitrary...
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An axially symmetric spacetime with causality violation in Ricci-inverse gravity
In this paper, Ricci-inverse gravity is investigated. It is an alternative theory of gravity that introduces into the Einstein–Hilbert action an...
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Variational theory of the Ricci curvature tensor dynamics
In this letter a new Lagrangian variational principle is proved to hold for the Einstein field equations, in which the independent variational tensor...
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A study of Bianchi type I spacetime according to their Ricci collineations
Rici collineations (RCs) have been used in this research to study the locally rotationally symmetric (LRS) Bianchi type I spacetimes. To accomplish...
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Correlated stability conjecture for AdS black holes in higher dimensional Ricci cubic gravity
We investigate the correlated stability conjecture for AdS black holes obtained from the higher dimensional Ricci cubic gravity. It shows that the...
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Conformal Ricci solitons on Vaidya spacetime
The present paper focused on Vaidya spacetime admitting a conformal Ricci soliton. We derive the expressions for the four components of the...
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On causality violation in different classes of Ricci inverse gravity
In this paper, we investigate a causality-violating four-dimensional space-time, an extension of the two-dimensional Misner space within the...
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Local Models for Manifolds with Symplectic Connections of Ricci Type*
We show that any symplectic manifold (Mω) of dimension 2n(n≥ 2) admitting a symplectic connection of Ricci type can locally be constructed by a...
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On gradient Ricci soliton space-time warped product with potentially infinite metric
The idea of potentially infinite metrics on space-time was given by Bennett Chow and Sun-Chin Chu in 1995. After that Perelman introduced two new...
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Holographic Ricci dark energy in nonconservative unimodular gravity
The structure of unimodular gravity (UG) is invariant to a subclass of diffeomorphism, the transverse diffeomorphism, due to the unimodular condition
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Can we bypass no-go theorem for Ricci-inverse gravity?
Recently, Amendola et al. proposed a geometrical theory of gravity containing higher-order derivative terms (Amendola et al. in Phys Lett B...
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The Bakry-Émery Ricci Tensor: Application to Mass Distribution in Space-time
AbstractThe Bakry-Émery Ricci tensor gives an analogue of the Ricci tensor for a Riemannian manifold with a smooth function. This notion motivates a...
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Classification of a class of locally rotationally symmetric Bianchi type V spacetimes via Ricci collineations
In this paper, a class of locally rotationally symmetric Bianchi type V spacetime is considered. By performing an appropriate transformation of the...
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Existence of Finite Global Norm of Potential Vector Field in a Ricci Soliton
In this paper, we present global norm of potential vector field in Ricci soliton. In particular, we deduce certain conditions so that the potential...
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Cobordism, singularities and the Ricci flow conjecture
In the following work, an attempt to conciliate the Ricci flow conjecture and the Cobordism conjecture, stated as refinements of the Swampland...
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Charged anisotropic compact stars in Ricci-inverse gravity
The main objective of this work is to use the Karmarkar condition to investigate the charged anisotropic characteristics of compact stars in the...
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Symmetric teleparallel gravity with holographic Ricci dark energy
We examine the isotropic and spatially homogeneous FLRW cosmological-like model in the background of f ( Q ) gravity, say symmetric teleparallel...
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Viscous Ricci Dark Energy Cosmological Models in Brans-Dicke Theory
The whole article deals with the analysis of the cosmic model of Ruban’s space-time in the context of a bulk viscosity impact in the form of Ricci...
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Evolution of Lifshitz metric anisotropies in Einstein–Proca theory under the Ricci–DeTurck flow
By starting from a Perelman entropy functional and considering the Ricci–DeTurck flow equations, we analyze the behavior of Einstein–Hilbert and...
