标题： 完整的Brans-Dicke理论 显示英文标题

标题： The complete Brans-Dicke theories

摘要： 鉴于 Brans-Dicke 理论中标量场的简单波动方程被保留，我们通过详尽分析 Bianchi 恒等式，研究了违背精确能量守恒方程的一致性理论。结果表明，只有三种理论从一致性上明确确定下来，而无需人为引入任意函数。这些理论各自具有一种特定的相互作用项，控制标量场与普通物质之间的能量交换。这些理论包含新的参数（积分过程中的积分常数），当这些参数被关闭时，Brans-Dicke 理论得以浮现。通常情况下，当物质的能量-动量张量为零时，可以从完整的 Brans-Dicke 理论中定义出真空理论。 显示英文摘要

摘要： Given that the simple wave equation of Brans-Dicke theory for the scalar field is preserved, we have investigated, through exhaustively analyzing the Bianchi identities, the consistent theories which violate the exact energy conservation equation. It is found that only three theories exist which are unambiguously determined from consistency, without imposing arbitrary functions by hand. Each of these theories possesses a specific interaction term which controls the energy exchange between the scalar field and ordinary matter. The theories contain new parameters (integration constants from the integration procedure) and when these are switched-off, Brans-Dicke theory emerges. As usually, the vacuum theories can be defined from the complete Brans-Dicke theories when the matter energy-momentum tensor vanishes.