4 papers
A complete correspondence between the Newman-Penrose and 1+1+2 formalisms
Abbas M Sherif, Peter K S Dunsby
We establish a correspondence between the Newman-Penrose and 1+1+2 semitetrad covariant formalisms by expressing all Newman-Penrose spin coefficients, Ricci scalars, and Weyl scala…
Covariant Dynamical Systems Formulation of the Tolman-Oppenheimer-Volkoff Equations
Eduardo Bittencourt, Mariam Campbell, Peter K. S. Dunsby +1
We revisit static, spherically symmetric perfect-fluid stellar models in General Relativity within the framework of the semi-tetrad formalism. For locally rotationally symm…
Some exact relativistic star solutions in gravity
Mariam Campbell, Sante Carloni, Peter K. S. Dunsby +1
We present a covariant description of non-vacuum static spherically symmetric spacetimes in gravity applying the (1+1+2) covariant formalism. The propagation equations are t…
A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in gravity
A. S. Agrawal, Charlotte Louw, Saikat Chakraborty +1
Using the dynamical systems approach together with the cosmographic parameters, we present a model-independent dynamical system formulation for cosmology in f(R) gravity. The formu…