Dynamical p-branes with a cosmological constant

Keiichi Maeda, Masato Minamitsuji, Nobuyoshi Ohta, Kunihito Uzawa

    Research output: Contribution to journalArticle

    19 Citations (Scopus)

    Abstract

    We present a class of dynamical solutions in a D-dimensional gravitational theory coupled to a dilaton, a form field strength, and a cosmological constant. We find that for any D due to the presence of a cosmological constant, the metric of solutions depends on a quadratic function of the brane world volume coordinates, and the transverse space cannot be Ricci flat except for the case of 1-branes. We then discuss the dynamics of 1-branes in a D-dimensional spacetime. For a positive cosmological constant, 1-brane solutions with D>4 approach the Milne universe in the far-brane region. On the other hand, for a negative cosmological constant, each 1-brane approaches the others as the time evolves from a positive value, but no brane collision occurs for D>4, since the spacetime close to the 1-branes eventually splits into the separate domains. In contrast, the D=3 case provides an example of colliding 1-branes. Finally, we discuss the dynamics of 0-branes and show that for D>2, they behave like the Milne universe after the infinite cosmic time has passed.

    Original languageEnglish
    Article number046007
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume82
    Issue number4
    DOIs
    Publication statusPublished - 2010 Aug 31

    Fingerprint

    universe
    field strength
    collisions

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Dynamical p-branes with a cosmological constant. / Maeda, Keiichi; Minamitsuji, Masato; Ohta, Nobuyoshi; Uzawa, Kunihito.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 82, No. 4, 046007, 31.08.2010.

    Research output: Contribution to journalArticle

    Maeda, Keiichi ; Minamitsuji, Masato ; Ohta, Nobuyoshi ; Uzawa, Kunihito. / Dynamical p-branes with a cosmological constant. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2010 ; Vol. 82, No. 4.
    @article{a00dda255e7748e6a5a9ddd40afb2a61,
    title = "Dynamical p-branes with a cosmological constant",
    abstract = "We present a class of dynamical solutions in a D-dimensional gravitational theory coupled to a dilaton, a form field strength, and a cosmological constant. We find that for any D due to the presence of a cosmological constant, the metric of solutions depends on a quadratic function of the brane world volume coordinates, and the transverse space cannot be Ricci flat except for the case of 1-branes. We then discuss the dynamics of 1-branes in a D-dimensional spacetime. For a positive cosmological constant, 1-brane solutions with D>4 approach the Milne universe in the far-brane region. On the other hand, for a negative cosmological constant, each 1-brane approaches the others as the time evolves from a positive value, but no brane collision occurs for D>4, since the spacetime close to the 1-branes eventually splits into the separate domains. In contrast, the D=3 case provides an example of colliding 1-branes. Finally, we discuss the dynamics of 0-branes and show that for D>2, they behave like the Milne universe after the infinite cosmic time has passed.",
    author = "Keiichi Maeda and Masato Minamitsuji and Nobuyoshi Ohta and Kunihito Uzawa",
    year = "2010",
    month = "8",
    day = "31",
    doi = "10.1103/PhysRevD.82.046007",
    language = "English",
    volume = "82",
    journal = "Physical review D: Particles and fields",
    issn = "0556-2821",
    publisher = "American Institute of Physics Publising LLC",
    number = "4",

    }

    TY - JOUR

    T1 - Dynamical p-branes with a cosmological constant

    AU - Maeda, Keiichi

    AU - Minamitsuji, Masato

    AU - Ohta, Nobuyoshi

    AU - Uzawa, Kunihito

    PY - 2010/8/31

    Y1 - 2010/8/31

    N2 - We present a class of dynamical solutions in a D-dimensional gravitational theory coupled to a dilaton, a form field strength, and a cosmological constant. We find that for any D due to the presence of a cosmological constant, the metric of solutions depends on a quadratic function of the brane world volume coordinates, and the transverse space cannot be Ricci flat except for the case of 1-branes. We then discuss the dynamics of 1-branes in a D-dimensional spacetime. For a positive cosmological constant, 1-brane solutions with D>4 approach the Milne universe in the far-brane region. On the other hand, for a negative cosmological constant, each 1-brane approaches the others as the time evolves from a positive value, but no brane collision occurs for D>4, since the spacetime close to the 1-branes eventually splits into the separate domains. In contrast, the D=3 case provides an example of colliding 1-branes. Finally, we discuss the dynamics of 0-branes and show that for D>2, they behave like the Milne universe after the infinite cosmic time has passed.

    AB - We present a class of dynamical solutions in a D-dimensional gravitational theory coupled to a dilaton, a form field strength, and a cosmological constant. We find that for any D due to the presence of a cosmological constant, the metric of solutions depends on a quadratic function of the brane world volume coordinates, and the transverse space cannot be Ricci flat except for the case of 1-branes. We then discuss the dynamics of 1-branes in a D-dimensional spacetime. For a positive cosmological constant, 1-brane solutions with D>4 approach the Milne universe in the far-brane region. On the other hand, for a negative cosmological constant, each 1-brane approaches the others as the time evolves from a positive value, but no brane collision occurs for D>4, since the spacetime close to the 1-branes eventually splits into the separate domains. In contrast, the D=3 case provides an example of colliding 1-branes. Finally, we discuss the dynamics of 0-branes and show that for D>2, they behave like the Milne universe after the infinite cosmic time has passed.

    UR - http://www.scopus.com/inward/record.url?scp=77956940209&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=77956940209&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevD.82.046007

    DO - 10.1103/PhysRevD.82.046007

    M3 - Article

    AN - SCOPUS:77956940209

    VL - 82

    JO - Physical review D: Particles and fields

    JF - Physical review D: Particles and fields

    SN - 0556-2821

    IS - 4

    M1 - 046007

    ER -