scholarly journals Einstein gravity as a 3D conformally invariant theory

2011 ◽  
Vol 28 (4) ◽  
pp. 045005 ◽  
Author(s):  
Henrique Gomes ◽  
Sean Gryb ◽  
Tim Koslowski
Keyword(s):  
Invariant Theory ◽  
Einstein Gravity ◽  
Conformally Invariant

scholarly journals Exact solutions of three-dimensional black holes: Einstein gravity versus F(R) gravity

2014 ◽  
Vol 23 (11) ◽  
pp. 1450088 ◽  
Author(s):  
S. H. Hendi ◽  
B. Eslam Panah ◽  
R. Saffari
Keyword(s):  
Black Hole ◽  
Exact Solutions ◽  
Three Dimensional ◽  
Einstein Gravity ◽  
Nonlinear Electrodynamics ◽  
Thermodynamic Quantities ◽  
Field Equations ◽  
First Law Of Thermodynamics ◽  
Conformally Invariant ◽  
Dimensional Spacetime

In this paper, we consider Einstein gravity in the presence of a class of nonlinear electrodynamics, called power Maxwell invariant (PMI). We take into account (2 + 1)-dimensional spacetime in Einstein-PMI gravity and obtain its black hole solutions. Then, we regard pure F(R) gravity as well as F(R)-conformally invariant Maxwell (CIM) theory to obtain exact solutions of the field equations with black hole interpretation. Finally, we investigate the conserved and thermodynamic quantities and discuss about the first law of thermodynamics for the mentioned gravitational models.

CONFORMAL GRAVITY AND GRAVITATIONAL WAVES

2011 ◽  
Vol 20 (10) ◽  
pp. 1941-1943 ◽  
Author(s):  
LUCA FABBRI ◽  
M. B. PARANJAPE
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Invariant Theory ◽  
Minkowski Spacetime ◽  
Coordinate Transformations ◽  
Conformal Gravity ◽  
Conformally Invariant ◽  
Wave Solutions ◽  
Linearized Theory ◽  
Plane Gravitational Waves

We consider monochromatic, plane gravitational waves in a conformally invariant theory of general relativity. We show that the simple, standard ansatz for the metric, usually that which is taken for the linearized theory of these waves, is reducible to the metric of Minkowski spacetime via a sequence of conformal and coordinate transformations. This implies that we have in fact, exact plane wave solutions. However they are simply coordinate/conformal artifacts. As a consequence, they carry no energy.

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