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Lü H, Wen R. Holographic
(a,c)
charges and their universal relation in
d=6
from massless higher-order gravities. Int J Clin Exp Med 2019. [DOI: 10.1103/physrevd.99.126003] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Abstract
We consider the issue of correspondence between symmetries and conserved quantities in the class of linear relativistic higher-derivative theories of derived type. In this class of models the wave operator is a polynomial in another formally self-adjoint operator, while each isometry of space-time gives rise to the series of symmetries of action functional. If the wave operator is given by n-th-order polynomial then this series includes n independent entries, which can be explicitly constructed. The Noether theorem is then used to construct an n-parameter set of second-rank conserved tensors. The canonical energy-momentum tensor is included in the series, while the other entries define independent integrals of motion. The Lagrange anchor concept is applied to connect the general conserved tensor in the series with the original space-time translation symmetry. This result is interpreted as existence of multiple energy-momentum tensors in the class of derived systems. To study stability we seek for bounded-conserved quantities that are connected with the time translations. We observe that the derived theory is stable if its wave operator is defined by a polynomial with simple and real roots. The general constructions are illustrated by the examples of the Pais–Uhlenbeck oscillator, higher-derivative scalar field, and extended Chern–Simons theory.
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Li YZ, Lü H, Wu JB. Causality and
a
-theorem constraints on Ricci polynomial and Riemann cubic gravities. Int J Clin Exp Med 2018. [DOI: 10.1103/physrevd.97.024023] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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4
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Higher Derivative Gravity and Conformal Gravity from Bimetric and Partially Massless Bimetric Theory. UNIVERSE 2015. [DOI: 10.3390/universe1020092] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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5
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Gürses M, Şişman TÇ, Tekin B. AdS-plane wave andpp-wave solutions of generic gravity theories. Int J Clin Exp Med 2014. [DOI: 10.1103/physrevd.90.124005] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Catalán M, Vásquez Y. Scalar field perturbations of a Lifshitz black hole in conformal gravity in three dimensions. Int J Clin Exp Med 2014. [DOI: 10.1103/physrevd.90.104002] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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7
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Grumiller D, McNees R, Salzer J. Cosmological constant as confining U(1) charge in two-dimensional dilaton gravity. Int J Clin Exp Med 2014. [DOI: 10.1103/physrevd.90.044032] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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