scholarly journals ALGEBRAIC PROPERTIES OF THE SEMI-PLANE-SYMMETRIC STATIC SPACE-TIME YIELDED BY SEMI-PLANE-SYMMETRIC NON-NULL ELECTROMAGNETIC FIELDS

1993 ◽  
Vol 42 (4) ◽  
pp. 528
Author(s):  
QIANG WEN-CHAO
Keyword(s):  
Electromagnetic Fields ◽  
Space Time ◽  
Plane Symmetric ◽  
Algebraic Properties ◽  
Static Space

Static ‘‘semi‐plane‐symmetric’’ metrics yielded by plane‐symmetric electromagnetic fields

1989 ◽  
Vol 30 (12) ◽  
pp. 2915-2917 ◽  
Author(s):  
Jian‐zeng Li ◽  
Can‐bin Liang
Keyword(s):  
Electromagnetic Fields ◽  
Plane Symmetric ◽  
Symmetric Metrics

Completion of plane-symmetric metrics yielded by electromagnetic fields

1987 ◽  
Vol 19 (4) ◽  
pp. 345-350 ◽  
Author(s):  
Zhi-quan Kuang ◽  
Jian-zeng Li ◽  
Can-bin Liang
Keyword(s):  
Electromagnetic Fields ◽  
Plane Symmetric ◽  
Symmetric Metrics

scholarly journals QUANTUM SINGULARITIES IN STATIC AND CONFORMALLY STATIC SPACE-TIMES

2011 ◽  
Vol 26 (22) ◽  
pp. 3878-3888 ◽  
Author(s):  
D. A. KONKOWSKI ◽  
T. M. HELLIWELL
Keyword(s):  
Power Law ◽  
Cosmic String ◽  
Higher Order ◽  
Space Time ◽  
Differential Invariants ◽  
Future Research ◽  
Quantum Singularities ◽  
Definition Of ◽  
Friedmann Robertson Walker ◽  
Static Space

The definition of quantum singularity is extended from static space-times to conformally static space-times. After the usual definitions of classical and quantum singularities are reviewed, examples of quantum singularities in static space-times are given. These include asymptotically power-law space-times, space-times with diverging higher-order differential invariants, and a space-time with a 2-sphere singularity. The theory behind quantum singularities in conformally static space-times is followed by an example, a Friedmann-Robertson-Walker space-time with cosmic string. The paper concludes by discussing areas of future research.

scholarly journals The W2-curvature tensor on warped product manifolds and applications

2016 ◽  
Vol 13 (07) ◽  
pp. 1650099 ◽  
Author(s):  
Sameh Shenawy ◽  
Bülent Ünal
Keyword(s):  
Curvature Tensor ◽  
Product Space ◽  
Warped Product ◽  
Space Time ◽  
Product Manifold ◽  
Warped Product Manifold ◽  
Static Space

The purpose of this paper is to study the [Formula: see text]-curvature tensor on (singly) warped product manifolds as well as on generalized Robertson–Walker and standard static space-times. Some different expressions of the [Formula: see text]-curvature tensor on a warped product manifold in terms of its relation with [Formula: see text]-curvature tensor on the base and fiber manifolds are obtained. Furthermore, we investigate [Formula: see text]-curvature flat warped product manifolds. Many interesting results describing the geometry of the base and fiber manifolds of a [Formula: see text]-curvature flat warped product manifold are derived. Finally, we study the [Formula: see text]-curvature tensor on generalized Robertson–Walker and standard static space-times; we explore the geometry of the fiber of these warped product space-time models that are [Formula: see text]-curvature flat.

scholarly journals Colliding scalar pulses in the Einstein-Gauss-Bonnet gravity

2018 ◽  
Vol 168 ◽  
pp. 04014
Author(s):  
Hisaaki Shinkai ◽  
Takashi Torii
Keyword(s):  
Nonlinear Dynamics ◽  
Symmetric Space ◽  
Higher Order ◽  
Space Time ◽  
Large Curvature ◽  
Bonnet Gravity ◽  
Plane Symmetric ◽  
Higher Order Curvature Corrections

We numerically investigated how the nonlinear dynamics depends on the dimensionality and on the higher-order curvature corrections in the form of Gauss-Bonnet (GB) terms, with a model of colliding scalar pulses in plane-symmetric space-time. We observed that a collision of large scalar pulses will produce a large-curvature region, of which the magnitude depends on αGB. The normal corrections (αGB > 0) work for avoiding the appearance of singularity, although it is inevitable.

PLANE SYMMETRIC SOLUTIONS FOR THE RADIATING GRAVITATIONAL FIELD

2010 ◽  
Vol 24 (17) ◽  
pp. 1877-1882 ◽  
Author(s):  
MING SHEN
Keyword(s):  
Periodic Solution ◽  
Gravitational Field ◽  
Space Time ◽  
Energy Conditions ◽  
Plane Symmetric ◽  
Physical Phenomena ◽  
Time Periodic ◽  
Time Periodic Solution

In this letter, we present a family of plane symmetric solutions for the radiating gravitational field which satisfy the weak and dominant energy conditions. An example is given according to the general form. We show that the example is a space–time-periodic solution which may have some relations with the new physical phenomena.

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