Killing vectors of static spherically symmetric metrics

1990 ◽  
Vol 31 (6) ◽  
pp. 1463-1463 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
Asghar Qadir
Keyword(s):  
Spherically Symmetric ◽  
Killing Vectors ◽  
Symmetric Metrics

scholarly journals Spherically symmetric solutions in a FRW background

2015 ◽  
Vol 30 (08) ◽  
pp. 1550042 ◽  
Author(s):  
H. Moradpour ◽  
N. Riazi
Keyword(s):  
Black Holes ◽  
Thermodynamic Properties ◽  
Perfect Fluid ◽  
Spherically Symmetric ◽  
Killing Vectors ◽  
Spherically Symmetric Solutions ◽  
Slow Expansion ◽  
Symmetric Metrics ◽  
Physical Features

We impose perfect fluid concept along with slow expansion approximation to derive new solutions which, considering non-static spherically symmetric metrics, can be treated as Black Holes (BHs). We will refer to these solutions as Quasi BHs. Mathematical and physical features such as Killing vectors, singularities, and mass have been studied. Their horizons and thermodynamic properties have also been investigated. In addition, relationship with other related works (including McVittie's) are described.

scholarly journals A Note on the Transformability of Spherically Symmetric Metrics

1953 ◽  
Vol 9 (1) ◽  
pp. 13-16 ◽  
Author(s):  
Paul Kustaanheimo
Keyword(s):  
Spherically Symmetric ◽  
Symmetric Metrics ◽  
Spherically Symmetric Metric

SummaryIt is shown that every spherically symmetric metric can be transformed into the isotropic form. As illustration an example is given.

Conformal vector fields of static spherically symmetric space-times in f(R, G) gravity

2020 ◽  
Vol 17 (08) ◽  
pp. 2050120
Author(s):  
Fiaz Hussain ◽  
Ghulam Shabbir ◽  
M. Ramzan ◽  
S. F. Hussain ◽  
Sabiha Qazi
Keyword(s):  
Symmetric Space ◽  
Current Literature ◽  
Vector Fields ◽  
Spherically Symmetric ◽  
Direct Integration ◽  
Conformal Vector ◽  
Conformal Vector Fields ◽  
Symmetric Metrics

Assuming the most general form of static spherically symmetric space-times, we search for the conformal vector fields in [Formula: see text] gravity by means of algebraic and direct integration approaches. In this study, there exist six cases which on account of further study yield conformal vector fields of dimension four, six and fifteen. During this study, we also recovered some well-known static spherically symmetric metrics announced in the current literature.

Harmonic sections of vector bundles with spherically symmetric metrics

2022 ◽  
Vol 0 (0) ◽  
Author(s):  
Mohamed T. K. Abbassi ◽  
Ibrahim Lakrini
Keyword(s):  
Riemannian Manifold ◽  
Vector Bundle ◽  
Critical Points ◽  
Vector Bundles ◽  
Energy Functional ◽  
Spherically Symmetric ◽  
Arbitrary Vector ◽  
Smooth Maps ◽  
Symmetric Metrics ◽  
Spherically Symmetric Metric

Abstract We equip an arbitrary vector bundle over a Riemannian manifold, endowed with a fiber metric and a compatible connection, with a spherically symmetric metric (cf. [4]), and westudy harmonicity of its sections firstly as smooth maps and then as critical points of the energy functional with variations through smooth sections.We also characterize vertically harmonic sections. Finally, we give some examples of special vector bundles, recovering in some situations some classical harmonicity results.

Sign in / Sign up

Export Citation Format

Share Document