Counterterm method in Lovelock theory and horizonless solutions in dimensionally continued gravity

Journal Article · Mon May 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.104013· OSTI ID:20774698

Dehghani, M H ^[1]; Bostani, N; Sheykhi, A ^[1]

---

1. Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454 (Iran, Islamic Republic of)

In this paper we, first, generalize the quasilocal definition of the stress-energy tensor of Einstein gravity to the case of Lovelock gravity, by introducing the tensorial form of surface terms that make the action well-defined. We also introduce the boundary counterterm that removes the divergences of the action and the conserved quantities of the solutions of Lovelock gravity with flat boundary at constant t and r. Second, we obtain the metric of spacetimes generated by brane sources in dimensionally continued gravity through the use of Hamiltonian formalism, and show that these solutions have no curvature singularity and no horizons, but have conic singularity. We show that these asymptotically AdS spacetimes which contain two fundamental constants are complete. Finally we compute the conserved quantities of these solutions through the use of the counterterm method introduced in the first part of the paper.

• OSTI ID: 20774698
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 73; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
EINSTEIN FIELD EQUATIONS
FUNDAMENTAL CONSTANTS
GRAVITATION
HAMILTONIANS
MATHEMATICAL SOLUTIONS
MEMBRANES
QUANTUM FIELD THEORY
SINGULARITY
SPACE-TIME
STRESSES
TENSORS