860 research outputs found

    Bondi mass with a cosmological constant

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    The mass loss of an isolated gravitating system due to energy carried away by gravitational waves with a cosmological constant Ξ›βˆˆR\Lambda\in\R was recently worked out, using the Newman-Penrose-Unti approach. In that same article, an expression for the Bondi mass of the isolated system, MΞ›M_\Lambda, for the Ξ›>0\Lambda>0 case was proposed. The stipulated mass MΞ›M_\Lambda would ensure that in the absence of any incoming gravitational radiation from elsewhere, the emitted gravitational waves must carry away a positive-definite energy. That suggested quantity however, introduced a Ξ›\Lambda-correction term to the Bondi mass MBM_B (where MBM_B is the usual Bondi mass for asymptotically flat spacetimes) which would involve not just information on the state of the system at that moment, but ostensibly also its past history. In this paper, we derive the identical mass-loss equation using an integral formula on a hypersurface formulated by Frauendiener based on the Nester-Witten identity, and argue that one may adopt a generalisation of the Bondi mass with Ξ›βˆˆR\Lambda\in\R \emph{without any correction}, viz. MΞ›=MBM_\Lambda=M_B for any Ξ›βˆˆR\Lambda\in\R. Furthermore with MΞ›=MBM_\Lambda=M_B, we show that for \emph{purely quadrupole gravitational waves} given off by the isolated system (i.e. when the "Bondi news" Οƒo\sigma^o comprises only the l=2l=2 components of the "spherical harmonics with spin-weight 2"), the energy carried away is \emph{manifestly positive-definite} for the Ξ›>0\Lambda>0 case. For a general Οƒo\sigma^o having higher multipole moments, this perspicuous property in the Ξ›>0\Lambda>0 case still holds if those l>2l>2 contributions are weak --- more precisely, if they satisfy any of the inequalities given in this paper.Comment: 29 pages, accepted for publication by Physical Review

    Professional Ethics in the Construction Industry

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    The results are provided of a small, but reprersentative, questionnaire survey of typical project managers, architects and building contractors concerning their views and experiences on a range of ethical issues surrounding construction industry activities. Most (90%) subscribed to a professional Code of Ethics and many (45%) had an Ethical Code of Conduct in their employing organisations, with the majority (84%) considering good ethical practice to be an important organisational goal. 93% of the respondents agreed that "Business Ethics" should be driven or governed by "Personal Ethics", with 84% of respondents stating that a balance of both the requirements of the client and the impact on the public should be maintained. No respondents were aware of any cases of employers attempting to force their employees to initiate, or participate in, unethical conduct. Despite this, all the respondents had witnessed or experienced some degree of unethical conduct, in the form of unfair conduct (81%), negligence (67%), conflict of interest (48%), collusive tendering (44%), fraud (35%), confidentiality and propriety breach (32%), bribery (26%) and violation of environmental ethics (20%)

    No-boarding buses: Synchronisation for efficiency

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    We investigate a no-boarding policy in a system of NN buses serving MM bus stops in a loop, which is an entrainment mechanism to keep buses synchronised in a reasonably staggered configuration. Buses always allow alighting, but would disallow boarding if certain criteria are met. For an analytically tractable theory, buses move with the same natural speed (applicable to programmable self-driving buses), where the average waiting time experienced by passengers waiting at the bus stop for a bus to arrive can be calculated. The analytical results show that a no-boarding policy can dramatically reduce the average waiting time, as compared to the usual situation without the no-boarding policy. Subsequently, we carry out simulations to verify these theoretical analyses, also extending the simulations to typical human-driven buses with different natural speeds based on real data. Finally, a simple general adaptive algorithm is implemented to dynamically determine when to implement no-boarding in a simulation for a real university shuttle bus service.Comment: 49 pages, 9 figures. Video available here: https://www.youtube.com/watch?v=SBNqvTr1Aj
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