Self-similarity in general relativity
BJ Carr, AA Coley - Classical and Quantum Gravity, 1999 - iopscience.iop.org
The different kinds of self-similarity in general relativity are discussed, with special emphasis
on similarity of thefirst'kind, corresponding to spacetimes admitting a homothetic vector. We …
on similarity of thefirst'kind, corresponding to spacetimes admitting a homothetic vector. We …
Structure scalars of spherically symmetric dissipative fluids with gravity
Z Yousaf - Astrophysics and Space Science, 2018 - Springer
The aim of this study is to analyze the role of modification of gravity on some dynamical
properties of spherically symmetric relativistic systems. In this settings, the mathematical …
properties of spherically symmetric relativistic systems. In this settings, the mathematical …
The Final fate of spherical inhomogeneous dust collapse
We examine, in a general manner, the role played by the initial density and velocity
distributions in the gravitational collapse of a spherically symmetric inhomogeneous dust …
distributions in the gravitational collapse of a spherically symmetric inhomogeneous dust …
Gravitational collapse: the story so far
PS Joshi - Pramana, 2000 - Springer
An outstanding problem in gravitation theory and relativistic astrophysics today is to
understand the final outcome of an endless gravitational collapse. Such a continual collapse …
understand the final outcome of an endless gravitational collapse. Such a continual collapse …
Tilted Lemaitre-Tolman-Bondi spacetimes: hydrodynamic and thermodynamic properties
We consider Lemaitre-Tolman-Bondi spacetimes from the point of view of a tilted observer,
ie one with respect to which the fluid is radially moving. The imperfect fluid and the …
ie one with respect to which the fluid is radially moving. The imperfect fluid and the …
Invariant characterization of the growing and decaying density modes in LTB dust models
RA Sussman - Classical and Quantum Gravity, 2013 - iopscience.iop.org
We obtain covariant expressions that generalize the growing and decaying density modes of
linear perturbation theory of dust sources by means of the exact density perturbation from …
linear perturbation theory of dust sources by means of the exact density perturbation from …
Hypothesis of path integral duality. I. Quantum gravitational corrections to the propagator
T Padmanabhan - Physical Review D, 1998 - APS
The action for a relativistic free particle of mass m receives a contribution− m R (x, y) from a
path of length R (x, y) connecting the events xi and y i. Using this action in a path integral …
path of length R (x, y) connecting the events xi and y i. Using this action in a path integral …
Initial data and the end state of spherically symmetric gravitational collapse
PS Joshi, IH Dwivedi - Classical and Quantum Gravity, 1999 - iopscience.iop.org
Generalizing earlier results on the initial data and the final fate of dust collapse, we study
here the relevance of the initial state of a spherically symmetric matter cloud towards …
here the relevance of the initial state of a spherically symmetric matter cloud towards …
Collapsing scenario for the k-essence emergent generalized Vaidya spacetime in the context of massive gravity's rainbow
S Ray, A Panda, B Majumder, MR Islam… - Chinese Physics …, 2022 - iopscience.iop.org
In this study, we investigate the collapsing scenario for the k-essence emergent Vaidya
spacetime in the context of massive gravity's rainbow. For this study, we consider that the …
spacetime in the context of massive gravity's rainbow. For this study, we consider that the …
[HTML][HTML] Hyperbolically symmetric versions of Lemaitre–Tolman–Bondi spacetimes
We study fluid distributions endowed with hyperbolic symmetry, which share many common
features with Lemaitre–Tolman–Bondi (LTB) solutions (eg, they are geodesic, shearing, and …
features with Lemaitre–Tolman–Bondi (LTB) solutions (eg, they are geodesic, shearing, and …