String or branelike solutions in four-dimensional Einstein gravity in the presence of a cosmological constant

Journal Article · Sat Oct 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.084042· OSTI ID:21607925

Lee, Youngone ^[1]; Kang, Gungwon ^[2]; Kim, Hyeong-Chan ^[3]; Lee, Jungjai ^[1]

---

1. Department of Physics and Institute of Basic Sciences, Daejin University, Pocheon, Gyeonggi 487-711 (Korea, Republic of)
2. Korea Institute of Science and Technology Information (KISTI), 334 Gwahak-ro, Yuseong-gu, Daejeon 305-806 (Korea, Republic of)
3. School of Liberal Arts and Sciences, Chungju National University, Chungju 380-702 (Korea, Republic of)

We investigate string or branelike solutions for four-dimensional vacuum Einstein equations in the presence of a cosmological constant. For the case of negative cosmological constant, the Banados-Teitelboim-Zanelli black string is the only warped stringlike solution. The general solutions for nonwarped branelike configurations are found and they are characterized by the Arnowitt-Deser-Misner mass density and two tensions. Interestingly, the sum of these tensions is equal to the minus of the mass density. Other than the well-known black string and soliton spacetimes, all the static solutions possess naked singularities. The time-dependent solutions can be regarded as the anti-de Sitter extension of the well-known Kasner solutions. The speciality of those static regular solutions and the implication of singular solutions are also discussed in the context of cylindrical matter collapse. For the case of positive cosmological constant, the Kasner-de Sitter spacetime appears as time-dependent solutions and all static solutions are found to be naked singular.

• OSTI ID: 21607925
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
BRANES
COMPOSITE MODELS
CONFIGURATION
COSMOLOGICAL CONSTANT
CYLINDRICAL CONFIGURATION
DE SITTER SPACE
DENSITY
EINSTEIN FIELD EQUATIONS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD EQUATIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GENERAL RELATIVITY THEORY
GRAVITATION
MASS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
PARTICLE MODELS
PHYSICAL PROPERTIES
QUARK MODEL
RELATIVITY THEORY
SINGULARITY
SPACE
SPACE-TIME
STRING MODELS
TIME DEPENDENCE