Scratching 
Travertine is a type of limestone, making it a relatively soft stone that will be susceptible to scratching. Travertine should be protected from scratching by using cutting boards for knives, and using trivets and placemats under all ceramic, china, and other vessels to reduce the possibility of scratching.
Staining
Travertine is more porous than many natural stone countertop materials and is extremely susceptible to staining. Luck Stone treats all travertine countertops with a penetrating stone sealer before installation, a process that helps protect the stone from staining. Coasters and placemats should be used to prevent staining for all drinking glasses or dishes, including water glasses. Avoid leaving any spilled substances on travertine for any period of time to prevent stains (including juices, alcoholic beverages, oils, greases, cosmetics, and standing water). It is recommended that travertine be resealed periodically with a penetrating stone sealer to help reduce staining.
Etching
Travertines, like marble and other calcareous stones, are acid sensitive. Calcareous stones are readily dissolved in acid; therefore acidic products, such as lemon or tomato juice should not be used on limestones and marbles. These will cause travertine to etch--the surface finish will dull and change texture. Wiping spills immediately and taking caution to use only cleansers specified for travertine will help avoid etching your countertop.
Burning
Travertine does have the potential to burn, so hot pots and pans should not be set directly on countertops. Use trivets, potholders and placemats to protect travertine surfaces.