Aspects of Quantum Gravity in de Sitter Spaces

Abstract

In these lectures we give a review of recent attempts to understand quantum gravity on de Sitter spaces. In particular, we discuss the holographic correspondence between de Sitter gravity and conformal field theories proposed by Hull and by Strominger, and how this may be reconciled with the finite-dimensional Hilbert space proposal by Banks and Fischler. Furthermore we review the no-go theorems that forbid an embedding of de Sitter spaces in string theory, and discuss how they can be circumvented. Finally, some curious issues concerning the thermal nature of de Sitter space are elucidated.

36+1 pages, 5 Postscript figures, introduction and section 6 extended, further references, final version to appear in JCAP

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• Thermodynamic ensembles with cosmological horizons
• Scalar field as a perfect fluid: thermodynamics of minimally coupled scalars and Einstein frame scalar-tensor gravity
• Scalar and fermionic vacuum currents in de Sitter spacetime with compact dimensions
• S-branes and (Anti-)Bubbles in (A)dS Space
• Vacuum Energy as the Origin of the Gravitational Constant
• On the Thermodynamics of Goedel Black Holes
• Stable de Sitter vacua in N=2, D=5 supergravity
• Charged-rotating black holes and black strings in higher dimensional Einstein-Maxwell theory with a positive cosmological constant
• Strong-coupling dynamics and entanglement in de Sitter space
• Towards causal patch physics in dS/CFT
• Cosmological monopoles and non-abelian black holes
• Notes on teleportation in an expanding space
• Holography in Three-dimensional Kerr-de Sitter Space with a Gravitational Chern-Simons Term
• Spacetime Equilibrium at Negative Temperature and the Attraction of Gravity
• Global monopoles, cosmological constant and maximal mass conjecture
• On cosmological solutions in a spontaneously broken gauge theory
• Static sphere observers and geodesics in Schwarzschild-de Sitter spacetime
• Holographic bounds and finite inflation
• Einstein-Gauss-Bonnet black holes in de Sitter spacetime and the quasilocal formalism
• Thermal gravity, black holes and cosmological entropy
• Thermodynamics of the Weyl Geometric Gravity Black Holes
• AdS${}_3$ to dS${}_3$ transition in the near horizon of asymptotically de Sitter solutions
• Covariant Effective Action for Scalar-Tensor Theories of Gravity
• Deriving the Gibbons-Maldacena-Nunez no-go theorem from the Raychaudhuri equation
• Gravitational collapse disturbs the dS/CFT correspondence?
• Virasoro generators and the dS_3/CFT_2 correspondence
• On the Euclidean Action of de Sitter Black Holes and Constrained Instantons