Global monopoles, cosmological constant and maximal mass conjecture

Abstract

We consider global monopoles as well as black holes with global monopole hair in Einstein-Goldstone model with a cosmological constant in four spacetime dimensions. Similar to the $\Lambda =0$ case, the mass of these solutions defined in the standard way diverges. We use a boundary counterterm subtraction method to compute the mass and action of $\Lambda \ne 0$ configurations. The mass of the asymptotically de Sitter solutions computed in this way turns out to take positive values in a specific parameter range and, for a relaxed set of asymptotic boundary conditions, yields a counterexample to the maximal mass conjecture.

18 pages, 7 figures; v2: references added, typos corrected, extended discussion on mass computation

References in corpus (36)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Large N Limit of Superconformal Field Theories and Supergravity
• A Stress Tensor for Anti-de Sitter Gravity
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• Holographic Renormalization
• On the Holographic Renormalization Group
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Anti De Sitter Space And Holography
• Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• Black Holes with Scalar Hair and Asymptotics in N=8 Supergravity
• Asymptotically Anti-de Sitter spacetimes and scalar fields with a logarithmic branch
• Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• Check of the Mass Bound Conjecture in the de Sitter Space
• Stability and Thermodynamics of AdS Black Holes with Scalar Hair
• Reissner-Nordstrom-de Sitter black hole, planar coordinates and dS/CFT
• Black hole mass and Hamilton-Jacobi counterterms
• On the Thermodynamics of NUT charged spaces
• More on counterterms in the gravitational action and anomalies
• Mass in anti-de Sitter spaces
• New hairy black hole solutions with a dilaton potential
• Aspects of Quantum Gravity in de Sitter Spaces
• No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime
• Global Monopole in Asymptotically dS/AdS Spacetime
• Mass, Action and Entropy of Taub-Bolt-dS Spacetimes
• Static Gravitational Global Monopoles
• Hairs on the cosmological horizon
• de Sitter/ Anti-de Sitter global monopoles
• A Review of the N-bound and the Maximal Mass Conjectures Using NUT-Charged dS Spacetimes
• Black Holes with Zero Mass
• Some Remarks on Gravitational Global Monopoles
• Regular non-Abelian vacua in $\mathcal{N}=4$, SO(4) gauged supergravity

Cited by in corpus (10)

• Light Deflection by a Rotating Global Monopole Spacetime
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Deflection angle of light for an observer and source at finite distance from a rotating wormhole
• Deflection angle of light for an observer and source at finite distance from a rotating global monopole
• The deflection angle of a gravitational source with global monopole in the strong field limit
• Thermodynamics and phase transition of charged AdS black holes with a global monopole
• Cosmological monopoles and non-abelian black holes
• Scalar hairy black holes and solitons in a gravitating Goldstone model
• Extended Thermodynamics of Self-Gravitating Skyrmions
• Einstein-Gauss-Bonnet black holes in de Sitter spacetime and the quasilocal formalism