A new class of plane symmetric solution

Abstract

A new class of static plane symmetric solution of Einstein field equation generated by a perfect fluid source is put forward. A special family of this new solution is investigated in detail. The constraints on the parameters by different energy conditions are studied. The classical stability of this solution is discussed. The junction conditions matching to Minkowski metric and Taub metric are analyzed respectively.

10 pages, v2: a typo in equation (37) corrected, v3: equation (68) corrected, PLB V663, Pages 291-296

References in corpus (4)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Taub's plane-symmetric vacuum spacetime revisited
• On the sources of static plane symmetric vacuum space-times
• A reinterpretation of the Taub singularity

Cited by in corpus (6)

• Braneworld cosmology in the sourced-Taub background
• Some properties of a new class of plane symmetric solution
• Dynamical spacetimes in conformal gravity
• N-dimensional plane symmetric solution with perfect fluid source
• Plane symmetric gravitational fields in (D+1)-dimensional General Relativity
• Static plane symmetric solutions in $f(Q)$ gravity