On the Higher-Derivative Conformal Gravity

Shin, Hyun Kuk; Pac, Pong Youl; Lee, Hae Won

doi:10.1142/s0217732389001052

Cited by 2 publications

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“…As an intriguing higher-derivative theory (Shin et al 1989;Flanagan 2006), it was initially hoped for an alternative candidate for a renormalizable quantum gravity beyond Einstein's theory of general relativity, and had attracted a lot of attention (Jackiw a rotating and charged AdS black hole has been constructed in (Liu and Lü 2013) where its global structure and some thermodynamical properties with an unusual Bekenstein-Smarr formula are analyzed.…”

Section: Introductionmentioning

confidence: 99%

“…Conformal gravity, which is an invariant gravity theory under the Weyl conformal transformation, had been advanced (Englert et al 1976) for a long time. As an intriguing higher-derivative theory (Shin et al 1989;Flanagan 2006), it was initially hoped for an alternative candidate for a renormalizable quantum gravity beyond Einstein's theory of general relativity, and had attracted a lot of attention (Jackiw 1978;Mansouri 1979;Binegar et al 1983;Riegert 1984;Fradkin and Palchik 1984;Horne and Witten 1989;Novozhilov and Vassilevich 1989;Mannheim and Kazanas 1989;Elizondo and Yepes 1994) during the past decades. An attractive property of conformal gravity is that it is a gauge covariant theory (Jackiw 1978;Mansouri 1979;Horne and Witten 1989) which shares many similar characters to that of Yang-Mills gauge theory.…”

Section: Introductionmentioning

confidence: 99%

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Hawking radiation from rotating AdS black holes in conformal gravity

Deng

2014

Astrophys Space Sci

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We extend to study Hawking radiation via tunneling in conformal gravity. We adopt Parikh-Wilczek's semi-classical tunneling method and the method of complex-path integral to investigate Hawking radiation from new rotating AdS black holes in conformal gravity. In this paper, the research on Hawking radiation from the rotating black holes is done in a general system, not limited in dragging coordinate systems any longer. Moreover, there existed some shortcomings in the previous derivation of geodesic equations. Different from the massless case, they used a different approach to derive the geodesic equation of the massive particles. Even the treatment was inconsistent with the variation principle of action. To remedy the shortcoming, we improve treatment to deduce the geodesic equations of massive and massless particles in a unified and self-consistent way. In addition, we also recover the Hawking temperature resorting to the complex-path integral method.Comment: Latex, 12 pages, no figur

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hawking radiation from rotating AdS black holes in conformal gravity

Deng

2014

Astrophys Space Sci

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“…In this paper, we will extend to study Hawking radiation of different particles across the charged rotating AdS black hole in conformal gravity [55], involving charged massive particles, the complex scalar and spin-1/2 Dirac particles. In fact, as a higher-derivative theory [56,57], conformal gravity deserves further explorations because of its own many intriguing properties. For example, it was initially hoped for an alternative candidate for a renormalizable quantum gravity beyond Einstein's general relativity theory.…”

Section: Introductionmentioning

confidence: 99%

Hawking radiation of charged rotating AdS black holes in conformal gravity for charged massive particles, complex scalar and Dirac particles

Deng

2014

Gen Relativ Gravit

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Extending researches on Hawking radiation to conformal gravity theory, we discuss Hawking radiation of different particles across charged rotating AdS black holes in conformal gravity, including charged massive particles, complex scalar and spin-1/2 Dirac particles. To make the study of rotating black holes' tunneling radiation get rid of the dependence on dragging coordinate systems, we investigate the radiation without dragging coordinate transformations. The previous geodesic derivation existed some shortcomings. Not only did geodesics of massive and massless particles are derived by using quite different approaches, but also the treatment for massive case was inconsistent with the variation principle of action. Recently, Wu et al have remedied the shortcomings. In this paper, we introduce the improved treatment in conformal gravity and derive geodesic equations of massive and massless particles in a unified and selfconsistent way. Although the result that the black holes' entropy is not one-quarter of horizon area differs from that in Einstein gravity, the tunneling probability of charged massive particles in conformal gravity is still related to the change of Bekenstein-Hawking entropy.

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On the Higher-Derivative Conformal Gravity

Abstract: We consider the fourth-order conformal gravity theory. The quantization of the theory is presented in detail. We also calculate, using the heat kernel method, the one-loop divergence and conformal anomaly.

Cited by 2 publications

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Hawking radiation from rotating AdS black holes in conformal gravity

Hawking radiation from rotating AdS black holes in conformal gravity

Hawking radiation of charged rotating AdS black holes in conformal gravity for charged massive particles, complex scalar and Dirac particles

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