标题： 膜上在包含Kalb-Ramond场的体时空中的解 显示英文标题

标题： Solutions on a brane in a bulk spacetime with Kalb-Ramond field

摘要： 在膜上导出了有效的引力场方程，当体空间时空具有二阶反对称的Kalb-Ramond场时。 由于引力子和Kalb-Ramond场都是闭弦激发态，它们可以在体空间中传播。 在导出了膜上的有效引力场方程之后，我们求解了一个静态球对称解。 结果表明，所获得的解根据模型的参数空间代表黑洞或裸奇点。 还讨论了该模型的稳定性。 得到了引力场方程的宇宙学解，在这些解中，发现Kalb-Ramond场表现得像普通的无压物质。 对于宇宙学解中某些特定的参数选择，解表现出尺度因子行为的转变，因此宇宙的膨胀历史也发生了转变。 还讨论了在这种情况下宇宙加速膨胀的可能性。 显示英文摘要

摘要： Effective gravitational field equations on a brane have been derived, when the bulk spacetime is endowed with the second rank antisymmetric Kalb-Ramond field. Since both the graviton and the Kalb-Ramond field are closed string excitations, they can propagate in the bulk. After deriving the effective gravitational field equations on the brane, we solve them for a static spherically symmetric solution. It turns out that the solution so obtained represents a black hole or naked singularity depending on the parameter space of the model. The stability of this model is also discussed. Cosmological solutions to the gravitational field equations have been obtained, where the Kalb-Ramond field is found to behave as normal pressure free matter. For certain specific choices of the parameters in the cosmological solution, the solution exhibits a transition in the behaviour of the scale factor and hence a transition in the expansion history of the universe. The possibility of accelerated expansion of the universe in this scenario is also discussed.