The minimal geometric deformation approach extended

被引:188
作者
Casadio, R. [1 ,2 ]
Ovalle, J. [1 ,3 ,4 ]
da Rocha, Roldao [5 ]
机构
[1] Alma Mater Univ Bologna, Dipartimento Fis & Astron, I-40126 Bologna, Italy
[2] Ist Nazl Fis Nucl, Sez Bologna, I-40127 Bologna, Italy
[3] Abdus Salam Int Ctr Theoret Phys ICTP, I-34014 Trieste, Italy
[4] Univ Simon Bolivar, Dept Fis, Caracas 1080A, Venezuela
[5] Univ Fed Abc, CMCC, BR-09210580 Santo Andre, SP, Brazil
基金
巴西圣保罗研究基金会;
关键词
extra-dimensional gravity; black holes; braneworld; BLACK-HOLES; BRANEWORLD STARS; DIMENSIONS; HIERARCHY;
D O I
10.1088/0264-9381/32/21/215020
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The minimal geometric deformation approach was introduced in order to study the exterior spacetime around spherically symmetric self-gravitating systems, such as stars or similar astrophysical objects, in the Randall-Sundrum brane-world framework. A consistent extension of this approach is developed here, which contains modifications of both the time component and the radial component of a spherically symmetric metric. A modified Schwarzschild geometry is obtained as an example of its simplest application, and a new solution that is potentially useful to describe stars in the brane-world is also presented.
引用
收藏
页数:16
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共 43 条
  • [1] Large Randall-Sundrum II black holes
    Abdolrahimi, Shohreh
    Cattoen, Celine
    Page, Don N.
    Yaghoobpour-Tari, Shima
    [J]. PHYSICS LETTERS B, 2013, 720 (4-5) : 405 - 409
  • [2] New dimensions at a millimeter to a fermi and superstrings at a TeV
    Antoniadis, I
    Arkani-Hamed, N
    Dimopoulos, S
    Dvali, G
    [J]. PHYSICS LETTERS B, 1998, 436 (3-4) : 257 - 263
  • [3] The hierarchy problem and new dimensions at a millimeter
    Arkani-Hamed, N
    Dimopoulos, S
    Dvali, G
    [J]. PHYSICS LETTERS B, 1998, 429 (3-4) : 263 - 272
  • [4] Regular bulk solutions and black strings from dynamical braneworlds with variable tension
    Bazeia, D.
    Hoff da Silva, J. M.
    da Rocha, Roldao
    [J]. PHYSICAL REVIEW D, 2014, 90 (04):
  • [5] Black holes in realistic branes: Black string-like objects?
    Bazeia, D.
    Hoff da Silva, J. M.
    da Rocha, Roldao
    [J]. PHYSICS LETTERS B, 2013, 721 (4-5) : 306 - 311
  • [6] Spherically symmetric thick branes cosmological evolution
    Bernardini, A. E.
    Cavalcanti, R. T.
    da Rocha, Roldao
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2015, 47 (01) : 1 - 17
  • [7] Gravitational collapse and black hole evolution - Do holographic black holes eventually "Anti-Evaporate"?
    Casadio, R
    Germani, C
    [J]. PROGRESS OF THEORETICAL PHYSICS, 2005, 114 (01): : 23 - 56
  • [8] Classical tests of general relativity: Brane-world Sun from minimal geometric deformation
    Casadio, R.
    Ovalle, J.
    Da Rocha, Roldao
    [J]. EPL, 2015, 110 (04)
  • [9] Black strings from minimal geometric deformation in a variable tension brane-world
    Casadio, R.
    Ovalle, J.
    da Rocha, Roldao
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (04)
  • [10] Brane-world stars and (microscopic) black holes
    Casadio, R.
    Ovalle, J.
    [J]. PHYSICS LETTERS B, 2012, 715 (1-3) : 251 - 255