Dynamical spacetimes in conformal gravity

Abstract

The conformal gravity remarkably boosts our prehension of gravity theories. We find a series of dynamical solutions in the $W^2$-conformal gravity, including generalized Schwarzschild-Friedmann-Robertson-Walker (GSFRW), charged generalized Schwarzschild-Friedmann-Robertson-Walker (CGSFRW), especially rotating Friedmann-Robertson-Walker (RFRW), charged rotating Friedmann-Robertson-Walker (CRFRW), and a dynamical cylindrically symmetric solutions. The RFRW, CRFRW and the dynamical cylindrically symmetric solutions are never found in the Einstein gravity and modified gravities. The GSFRW and CGSFRW solutions take different forms from the corresponding solutions in the Einstein gravity.

13 pages, no fig

References in corpus (5)

• Misner-Sharp Mass in $N$-dimensional $f(R)$ Gravity
• From thermodynamics to the solutions in gravity theory
• Charged Cylindrical Black Holes in Conformal Gravity
• A new class of plane symmetric solution
• Some properties of a new class of plane symmetric solution