Gravitational collapse and higher-order gravitational lagrangians

✍ Scribed by F Curtis Michel

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 807 KB
• Volume: 76
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(73)90451-x

✦ Synopsis

A general form of higher-order contributions (in &) to the Einstein field equations is displayed. The additional terms may either stabilize or destabilize self-gravitating objects in gravitational collapse depending on the sign of the coefficient introducing the quadratic term. If the quadratic term is stabilizing, intertial mass can be converted to radiation with an efficiency approaching 100 'A, and arbitrarily large masses can be stabilized. On the other hand, the resultant field equations are pathological in that they admit gravitons with negative mass-squared (i.e., tachyons). A nonsingular class of vacuum solutions exist in general for the quadratic case ("grey dimples").