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Background-independent charges in Topologically Massive Gravity

Olivera Miškovića,b and Rodrigo Oleaa

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We construct background-independent Noether charges in Topologically Massive Gravity with negative cosmological constant using its first-order formulation. The procedure is carried out by keeping track of the surface terms in the variation of the action, regardless the value of the gravitational Chern-Simons coupling μ. In particular, this method provides a definition of conserved quantities for solutions at the chiral point μℓ = 1 (ℓ is the AdS radius) that contain logarithmic terms (Log Gravity). It is also shown that the charge formula gives a finite result for warped AdS black holes without the need for any background-substraction procedure.

Keywords

Black Holes

Classical Theories of Gravity

Space-Time Symmetries

Chern-Simons Theories

 

E-print Number: 0909.2275

Cited: by |

Refers: to

PACS

04.50.-h Higher-dimensional gravity and other theories of gravity

04.70.-s Physics of black holes

95.30.Sf Relativity and gravitation

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

11.15.-q Gauge field theories

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 12 (December 2009)

Received 19 September 2009, accepted for publication 24 November 2009

Published 14 December 2009



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