The marginally trapped surfaces in spheroidal spacetimes

We study the location of marginally trapped surfaces in spacetimes resulting from an axial deformation of static isotropic systems, and show that the Misner–Sharp mass evaluated on the corresponding undeformed spherically symmetric space provides the correct gravitational radius to locate the spheroidal horizon.

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ISOMETRY HORIZONS IN SPHERICALLY SYMMETRIC SPACE–TIMES

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887806001582 ◽

2006 ◽

Vol 03 (05n06) ◽

pp. 1263-1271

Author(s):

J. SZENTHE

Keyword(s):

Symmetric Space ◽

Spherically Symmetric ◽

Isometric Action ◽

Event Horizons ◽

Killing Horizons

Some event horizons in space–times that are invariant under an isometric action, considered first by Carter, are called isometry horizons, especially Killing horizons. In this paper, isometry horizons in spherically symmetric space–times are considered. It is shown that these isometry horizons are all Killing horizons.

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Generalized scalar tensor theory in four and higher dimensional spherically symmetric space-time

Pramana ◽

10.1007/s12043-001-0084-y ◽

2001 ◽

Vol 56 (5) ◽

pp. 597-604

Author(s):

Subenoy Chakraborty ◽

Arabinda Ghosh

Keyword(s):

Symmetric Space ◽

Space Time ◽

Spherically Symmetric ◽

Scalar Tensor Theory ◽

Tensor Theory ◽

Higher Dimensional

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R- and T-Regions in Space-Time with Spherically Symmetric Space

General Relativity and Gravitation ◽

10.1023/a:1015398610011 ◽

2001 ◽

Vol 33 (12) ◽

pp. 2259-2295 ◽

Cited By ~ 17

Author(s):

I. D. Novikov

Keyword(s):

Symmetric Space ◽

Space Time ◽

Spherically Symmetric

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PROPER CURVATURE COLLINEATIONS IN NONSTATIC SPHERICALLY SYMMETRIC SPACE–TIMES

International Journal of Modern Physics A ◽

10.1142/s0217751x08038512 ◽

2008 ◽

Vol 23 (05) ◽

pp. 749-759 ◽

Cited By ~ 3

Author(s):

GHULAM SHABBIR ◽

M. RAMZAN

Keyword(s):

Symmetric Space ◽

Vector Fields ◽

Killing Vector ◽

Spherically Symmetric ◽

Killing Vector Fields ◽

Infinite Dimensional ◽

Riemann Matrix ◽

Integration Techniques ◽

Curvature Collineations ◽

Proper Curvature

A study of nonstatic spherically symmetric space–times according to their proper curvature collineations is given by using the rank of the 6×6 Riemann matrix and direct integration techniques. Studying proper curvature collineations in each case of the above space–times it is shown that when the above space–times admit proper curvature collineations, they turn out to be static spherically symmetric and form an infinite dimensional vector space. In the nonstatic cases curvature collineations are just Killing vector fields.

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