It is shown that the problem of the existence of a time function or of a semi-time function in general relativity is mathematically equivalent to that of the existence of a continuous utility function for an agent in microeconomics. Some theorems developed in economics can therefore be used in general relativity. With this strategy it is possible to give a new proof that stable causality is equivalent to the existence of a time function and also to clarify in which circumstances the causal structure can be recovered from the set of time functions allowed by the spacetime.
Time functions as utility functions
MINGUZZI, ETTORE
2011-01-01
Abstract
It is shown that the problem of the existence of a time function or of a semi-time function in general relativity is mathematically equivalent to that of the existence of a continuous utility function for an agent in microeconomics. Some theorems developed in economics can therefore be used in general relativity. With this strategy it is possible to give a new proof that stable causality is equivalent to the existence of a time function and also to clarify in which circumstances the causal structure can be recovered from the set of time functions allowed by the spacetime.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
