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.read more
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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 a temperatureodynamic volume.
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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.
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Universal Black Holes
TL;DR: In this paper, it was shown that a generalized Schwarzschild-like ansatz can be consistently employed to construct $d$-dimensional static vacuum black hole solutions in any metric theory of gravity for which the Lagrangian is a scalar invariant constructed from the Riemann tensor and its covariant derivatives of arbitrary order.
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Topological black holes in higher derivative gravity
TL;DR: In this article , the authors study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons and obtain a solution in terms of an infinite power-series expansion around the horizon, which is characterized by two independent integration constants.
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Einstein–Maxwell fields as solutions of higher-order theories
TL;DR: In this article , the authors study four-dimensional Einstein-Maxwell fields for which any higher-order corrections to the field equations effectively reduces to just a rescaling of the gravitational and the cosmological constant.
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A Remarkable property of the Riemann-Christoffel tensor in four dimensions
TL;DR: In this paper, it was shown that two invariants are inactive in the formation of field equations and thus may be omitted from the integrand of the action principle, i.e., I, = Ra, 6Ra# and 12 = R2.