scholarly journals LEVI–CIVITA SPACETIMES IN MULTIDIMENSIONAL THEORIES

2009 ◽  
Vol 24 (21) ◽  
pp. 1659-1667 ◽  
Author(s):  
J. PONCE DE LEON
Keyword(s):  
Dimensional Reduction ◽  
Separation Of Variables ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Reduction Procedure ◽  
Cylindrically Symmetric ◽  
Static Solutions ◽  
Symmetric Vacuum ◽  
Vacuum Spacetime ◽  
Vacuum Solutions

We obtain the most general static cylindrically symmetric vacuum solutions of the Einstein field equations in (4 + N) dimensions. Under the assumption of separation of variables, we construct a family of Levi–Civita–Kasner vacuum solutions in (4 + N) dimensions. We discuss the dimensional reduction of the static solutions. Depending on the reduction procedure, they can be interpreted either as a scalar-vacuum generalization of Levi–Civita spacetimes, or as the effective 4D vacuum spacetime outside of an idealized string in braneworld theory.

scholarly journals TRAPPING PHOTONS BY A LINE SINGULARITY

2003 ◽  
Vol 12 (06) ◽  
pp. 1095-1112 ◽  
Author(s):  
METIN ARIK ◽  
OZGUR DELICE
Keyword(s):  
Energy Density ◽  
Thin Shell ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Cylindrically Symmetric ◽  
Static Solutions ◽  
Line Singularity ◽  
Thick Shells

We present cylindrically symmetric, static solutions of the Einstein field equations around a line singularity such that the energy momentum tensor corresponds to infinitely thin photonic shells. Positivity of the energy density of the thin shell and the line singularity is discussed. It is also shown that thick shells containing mostly radiation are possible in a numerical solution.

scholarly journals Cylindrically symmetric static solutions of the Einstein field equations for elastic matter

2012 ◽  
Vol 53 (12) ◽  
pp. 122504 ◽  
Author(s):  
I. Brito ◽  
J. Carot ◽  
F. C. Mena ◽  
E. G. L. R. Vaz
Keyword(s):  
Einstein Field Equations ◽  
Field Equations ◽  
Cylindrically Symmetric ◽  
Static Solutions

scholarly journals Cylindrically symmetric vacuum solutions in higher dimensional Brans–Dicke theory

2010 ◽  
Vol 51 (7) ◽  
pp. 072505 ◽  
Author(s):  
Ahmet Baykal ◽  
Dilek K. Çiftci ◽  
Özgür Delice
Keyword(s):  
Cylindrically Symmetric ◽  
Higher Dimensional ◽  
Symmetric Vacuum ◽  
Vacuum Solutions

Spherically symmetric static matter configurations with vanishing radial pressure

2014 ◽  
Vol 24 (01) ◽  
pp. 1550002 ◽  
Author(s):  
S. Thirukkanesh ◽  
M. Govender ◽  
D. B. Lortan
Keyword(s):  
Gravitational Field ◽  
Radial Pressure ◽  
Constant Density ◽  
Spherically Symmetric ◽  
Einstein Field Equations ◽  
Field Equations ◽  
New Family ◽  
Generating Method ◽  
Static Solutions ◽  
Special Case

We present a new family of spherically symmetric, static solutions of the Einstein field equations in isotropic, comoving coordinates. The radial pressure at each interior point of these models vanishes yet equilibrium is still possible. The constant density Florides solution which describes the gravitational field inside an Einstein cluster is obtained as a special case of our solution-generating method. We show that our solutions can be utilized to model strange star candidates such as Her. X-1, SAX J1808.4-3658(SS2), SAX J1808.4-3658(SS1) and PSR J1614-2230.

scholarly journals Hybrid Metric-Palatini Gravity: Regular Stringlike Configurations

Universe ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. 172 ◽  
Author(s):  
Kirill Bronnikov ◽  
Sergey Bolokhov ◽  
Milena Skvortsova
Keyword(s):  
Symmetry Axis ◽  
Conformal Factor ◽  
Tensor Representation ◽  
Regular Solutions ◽  
Minkowski Metric ◽  
Completely Regular ◽  
Cylindrically Symmetric ◽  
Symmetric Vacuum ◽  
Theories Of Gravity ◽  
Vacuum Solutions

We discuss static, cylindrically symmetric vacuum solutions of hybrid metric-Palatini gravity (HMPG), a recently proposed theory that has been shown to successfully pass the local observational tests and produce a certain progress in cosmology. We use HMPG in its well-known scalar-tensor representation. The latter coincides with general relativity containing, as a source of gravity, a conformally coupled scalar field ϕ and a self-interaction potential V(ϕ). The ϕ field can be canonical or phantom, and, accordingly, the theory splits into canonical and phantom sectors. We seek solitonic (stringlike) vacuum solutions of HMPG, that is, completely regular solutions with Minkowski metric far from the symmetry axis, with a possible angular deficit. A transition of the theory to the Einstein conformal frame is used as a tool, and many of the results apply to the general Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories as well as f(R) theories of gravity. One of these results is a one-to-one correspondence between stringlike solutions in the Einstein and Jordan frames if the conformal factor that connects them is everywhere regular. An algorithm for the construction of stringlike solutions in HMPG and scalar-tensor theories is suggested, and some examples of such solutions are obtained and discussed.

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