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On a Set of Conform-Invariant Equations of the Gravitational Field

H. A. Buchdahl
- Vol. 10, Iss: 01, pp 16-20
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The article was published on 1953-01-01 and is currently open access. It has received 15 citations till now. The article focuses on the topics: Conformal field theory & Conformal anomaly.

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Fourth order gravity: Equations, history, and applications to cosmology

TL;DR: In this paper, the field equations following from a Lagrangian L(R) were deduced and solved for special cases, and it was shown that these equations are of fourth order in the metric.
Journal ArticleDOI

The Cauchy problem of f(R) gravity

TL;DR: In this article, the initial value problem of metric and Palatini f(R) gravity is studied by using the dynamical equivalence between these theories and Brans-Dicke gravity.
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Quasinormal modes of black holes in Weyl gravity: electromagnetic and gravitational perturbations

TL;DR: In this paper, the authors derived the master equation describing the quasinormal radiation by using a relation between the Schwarzschild-anti de Sitter black holes and Weyl solutions, and also the conformal invariance property of the Weyl action.
Journal ArticleDOI

Near-extremal black holes in Weyl gravity: Quasinormal modes and geodesic instability

TL;DR: In this article, a lower bound on the event horizon radius of a nearly extreme conformal de Sitter black hole is derived for scalar perturbations, which corresponds to an upper bound of the frequency of the quasinormal frequencies.
Journal ArticleDOI

$P-V$ Criticality of Conformal Gravity Holography in Four Dimensions

TL;DR: In this article, the authors examined the critical behavior of conformal gravity in an extended phase space in which the cosmological constant should be interpreted as a thermodynamic pressure and the corresponding conjugate quantity as thermodynamic volume.