Negative Mass Solitons in Gravity

Abstract

We first reconstruct the conserved (Abbott-Deser) charges in the spin connection formalism of gravity for asymptotically (Anti)-de Sitter spaces, and then compute the masses of the AdS soliton and the recently found Eguchi-Hanson solitons in generic odd dimensions, unlike the previous result obtained for only five dimensions. These solutions have negative masses compared to the global AdS or AdS/Z_p spacetimes. As a separate note, we also compute the masses of the recent even dimensional Taub-NUT-Reissner-Nordstrom metrics.

12 pages, RevTEX4; typos fixed; v3: version to appear in PRD, references added

References in corpus (23)

• The Black Hole in Three Dimensional Space Time
• The Dynamics of General Relativity
• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
• The General Kerr-de Sitter Metrics in All Dimensions
• Energy in Generic Higher Curvature Gravity Theories
• Gravitational Energy in Quadratic Curvature Gravities
• Conserved charges for gravity with locally AdS asymptotics
• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• Boundary charges in gauge theories: using Stokes theorem in the bulk
• Energy in Topologically Massive Gravity
• Mass and angular momentum of asymptotically AdS or flat solutions in the topologically massive gravity
• Mass of Rotating Black Holes in Gauged Supergravities
• Conserved Charges of Higher D Kerr-AdS Spacetimes
• New Multiply Nutty Spacetimes
• Soliton Solutions to the Einstein Equations in Five Dimensions
• Eguchi-Hanson Solitons in Odd Dimensions
• New Taub-NUT-Reissner-Nordström spaces in higher dimensions
• Nuttier Bubbles
• Conserved Charges in Even Dimensional Asymptotically locally Anti-de Sitter Space-times

Cited by in corpus (16)

• Regularization of odd-dimensional AdS gravity: Kounterterms
• Mass and Thermodynamics of Kaluza-Klein Black Holes with Squashed Horizons
• Conserved Charges in Extended Theories of Gravity
• New approach to conserved charges of generic gravity in AdS
• Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts
• Consistent mass formulas for higher even-dimensional Reissner-Nordström-NUT-AdS spacetimes
• Gravitational charges of transverse asymptotically AdS spacetimes
• A note on cosmological Levi-Civita spacetimes in higher dimensions
• Time Machines and AdS Solitons with Negative Mass
• More on Cotton Flow
• Linearized gravity in terms of differential forms
• Weyl Covariant Quadratic Curvature Gravity in 3-Dimensional Riemann-Cartan-Weyl Space-Times
• A Systematic Construction of Kastor-Traschen Currents and their Extensions to Generic Powers of Curvature
• Abbott-Deser energy in connection with Thirring's superpotentials
• Generalized Sparling-Thirring form in the Brans-Dicke theory
• Off-Shell ADT Conserved Quantities in Palatini Gravity